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Finding the Fourth Proportional to 17,695.41, 24,419.78 and 9,737.43

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Solution

The fourth proportional to 17,695.41, 24,419.78 and 9,737.43 is: 13,437.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,695.41 : 24,419.78 = 9,737.43 : x
  2. Step 2: Convert to fraction form
    17,695.41/24,419.78 = 9,737.43/x
  3. Step 3: Cross multiply
    17,695.41x = 24,419.78 × 9,737.43
  4. Step 4: Simplify right side
    17,695.41x = 237,785,898.37
  5. Step 5: Solve for x
    x = 237,785,898.37/17,695.41
  6. Step 6: Final answer
    x = 13,437.72

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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.