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Finding the Fourth Proportional to 17,604.71, 24,295.16 and 10,052.27

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Solution

The fourth proportional to 17,604.71, 24,295.16 and 10,052.27 is: 13,872.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,604.71 : 24,295.16 = 10,052.27 : x
  2. Step 2: Convert to fraction form
    17,604.71/24,295.16 = 10,052.27/x
  3. Step 3: Cross multiply
    17,604.71x = 24,295.16 × 10,052.27
  4. Step 4: Simplify right side
    17,604.71x = 244,221,411.67
  5. Step 5: Solve for x
    x = 244,221,411.67/17,604.71
  6. Step 6: Final answer
    x = 13,872.51

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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.