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Finding the Fourth Proportional to 17,289.89, 23,862.30 and 9,737.68

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Solution

The fourth proportional to 17,289.89, 23,862.30 and 9,737.68 is: 13,439.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,289.89 : 23,862.30 = 9,737.68 : x
  2. Step 2: Convert to fraction form
    17,289.89/23,862.30 = 9,737.68/x
  3. Step 3: Cross multiply
    17,289.89x = 23,862.30 × 9,737.68
  4. Step 4: Simplify right side
    17,289.89x = 232,363,441.46
  5. Step 5: Solve for x
    x = 232,363,441.46/17,289.89
  6. Step 6: Final answer
    x = 13,439.27

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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.