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Finding the Fourth Proportional to 24,424.43, 33,706.09 and 14,354.20

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Solution

The fourth proportional to 24,424.43, 33,706.09 and 14,354.20 is: 19,809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,424.43 : 33,706.09 = 14,354.20 : x
  2. Step 2: Convert to fraction form
    24,424.43/33,706.09 = 14,354.20/x
  3. Step 3: Cross multiply
    24,424.43x = 33,706.09 × 14,354.20
  4. Step 4: Simplify right side
    24,424.43x = 483,823,957.08
  5. Step 5: Solve for x
    x = 483,823,957.08/24,424.43
  6. Step 6: Final answer
    x = 19,809.02

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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.