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Finding the Fourth Proportional to 24,423, 33,705.24 and 14,869.56

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Solution

The fourth proportional to 24,423, 33,705.24 and 14,869.56 is: 20,520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,423 : 33,705.24 = 14,869.56 : x
  2. Step 2: Convert to fraction form
    24,423/33,705.24 = 14,869.56/x
  3. Step 3: Cross multiply
    24,423x = 33,705.24 × 14,869.56
  4. Step 4: Simplify right side
    24,423x = 501,182,088.49
  5. Step 5: Solve for x
    x = 501,182,088.49/24,423
  6. Step 6: Final answer
    x = 20,520.91

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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.