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Finding the Fourth Proportional to 17,290.16, 23,862.70 and 9,737.97

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Solution

The fourth proportional to 17,290.16, 23,862.70 and 9,737.97 is: 13,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,290.16 : 23,862.70 = 9,737.97 : x
  2. Step 2: Convert to fraction form
    17,290.16/23,862.70 = 9,737.97/x
  3. Step 3: Cross multiply
    17,290.16x = 23,862.70 × 9,737.97
  4. Step 4: Simplify right side
    17,290.16x = 232,374,256.72
  5. Step 5: Solve for x
    x = 232,374,256.72/17,290.16
  6. Step 6: Final answer
    x = 13,439.68

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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.