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Finding the Fourth Proportional to 12,287,274.34, 16,956,445.80 and 6,854,766.34

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Solution

The fourth proportional to 12,287,274.34, 16,956,445.80 and 6,854,766.34 is: 9,459,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287,274.34 : 16,956,445.80 = 6,854,766.34 : x
  2. Step 2: Convert to fraction form
    12,287,274.34/16,956,445.80 = 6,854,766.34/x
  3. Step 3: Cross multiply
    12,287,274.34x = 16,956,445.80 × 6,854,766.34
  4. Step 4: Simplify right side
    12,287,274.34x = 116,232,473,915,874.38
  5. Step 5: Solve for x
    x = 116,232,473,915,874.38/12,287,274.34
  6. Step 6: Final answer
    x = 9,459,581.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.