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Finding the Fourth Proportional to 24,467.40, 33,746.22 and 16,497

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Solution

The fourth proportional to 24,467.40, 33,746.22 and 16,497 is: 22,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,467.40 : 33,746.22 = 16,497 : x
  2. Step 2: Convert to fraction form
    24,467.40/33,746.22 = 16,497/x
  3. Step 3: Cross multiply
    24,467.40x = 33,746.22 × 16,497
  4. Step 4: Simplify right side
    24,467.40x = 556,711,391.34
  5. Step 5: Solve for x
    x = 556,711,391.34/24,467.40
  6. Step 6: Final answer
    x = 22,753.19

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