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Finding the Fourth Proportional to 17,498.86, 24,148.56 and 9,541.14

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Solution

The fourth proportional to 17,498.86, 24,148.56 and 9,541.14 is: 13,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,498.86 : 24,148.56 = 9,541.14 : x
  2. Step 2: Convert to fraction form
    17,498.86/24,148.56 = 9,541.14/x
  3. Step 3: Cross multiply
    17,498.86x = 24,148.56 × 9,541.14
  4. Step 4: Simplify right side
    17,498.86x = 230,404,791.76
  5. Step 5: Solve for x
    x = 230,404,791.76/17,498.86
  6. Step 6: Final answer
    x = 13,166.85

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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.