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Finding the Fourth Proportional to 17,537.16, 24,200.40 and 9,577.92

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Solution

The fourth proportional to 17,537.16, 24,200.40 and 9,577.92 is: 13,217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.16 : 24,200.40 = 9,577.92 : x
  2. Step 2: Convert to fraction form
    17,537.16/24,200.40 = 9,577.92/x
  3. Step 3: Cross multiply
    17,537.16x = 24,200.40 × 9,577.92
  4. Step 4: Simplify right side
    17,537.16x = 231,789,495.17
  5. Step 5: Solve for x
    x = 231,789,495.17/17,537.16
  6. Step 6: Final answer
    x = 13,217.05

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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.