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Finding the Fourth Proportional to 17,291.83, 23,861.64 and 9,737.72

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Solution

The fourth proportional to 17,291.83, 23,861.64 and 9,737.72 is: 13,437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,291.83 : 23,861.64 = 9,737.72 : x
  2. Step 2: Convert to fraction form
    17,291.83/23,861.64 = 9,737.72/x
  3. Step 3: Cross multiply
    17,291.83x = 23,861.64 × 9,737.72
  4. Step 4: Simplify right side
    17,291.83x = 232,358,028.71
  5. Step 5: Solve for x
    x = 232,358,028.71/17,291.83
  6. Step 6: Final answer
    x = 13,437.44

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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.