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Finding the Fourth Proportional to 17,291.30, 23,861.68 and 9,737.60

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Solution

The fourth proportional to 17,291.30, 23,861.68 and 9,737.60 is: 13,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,291.30 : 23,861.68 = 9,737.60 : x
  2. Step 2: Convert to fraction form
    17,291.30/23,861.68 = 9,737.60/x
  3. Step 3: Cross multiply
    17,291.30x = 23,861.68 × 9,737.60
  4. Step 4: Simplify right side
    17,291.30x = 232,355,495.17
  5. Step 5: Solve for x
    x = 232,355,495.17/17,291.30
  6. Step 6: Final answer
    x = 13,437.71

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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.