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Finding the Fourth Proportional to 17,184.48, 25,771.92 and 6,089.76

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Solution

The fourth proportional to 17,184.48, 25,771.92 and 6,089.76 is: 9,132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.48 : 25,771.92 = 6,089.76 : x
  2. Step 2: Convert to fraction form
    17,184.48/25,771.92 = 6,089.76/x
  3. Step 3: Cross multiply
    17,184.48x = 25,771.92 × 6,089.76
  4. Step 4: Simplify right side
    17,184.48x = 156,944,807.54
  5. Step 5: Solve for x
    x = 156,944,807.54/17,184.48
  6. Step 6: Final answer
    x = 9,132.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.