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Finding the Fourth Proportional to 14,669, 20,244.50 and 8,046.28

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Solution

The fourth proportional to 14,669, 20,244.50 and 8,046.28 is: 11,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,669 : 20,244.50 = 8,046.28 : x
  2. Step 2: Convert to fraction form
    14,669/20,244.50 = 8,046.28/x
  3. Step 3: Cross multiply
    14,669x = 20,244.50 × 8,046.28
  4. Step 4: Simplify right side
    14,669x = 162,892,915.46
  5. Step 5: Solve for x
    x = 162,892,915.46/14,669
  6. Step 6: Final answer
    x = 11,104.57

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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.