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Finding the Fourth Proportional to 12,125.70, 16,732.11 and 6,820.40

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Solution

The fourth proportional to 12,125.70, 16,732.11 and 6,820.40 is: 9,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,125.70 : 16,732.11 = 6,820.40 : x
  2. Step 2: Convert to fraction form
    12,125.70/16,732.11 = 6,820.40/x
  3. Step 3: Cross multiply
    12,125.70x = 16,732.11 × 6,820.40
  4. Step 4: Simplify right side
    12,125.70x = 114,119,683.04
  5. Step 5: Solve for x
    x = 114,119,683.04/12,125.70
  6. Step 6: Final answer
    x = 9,411.39

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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.