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Finding the Fourth Proportional to 17,752.46, 24,498.27 and 9,686.07

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Solution

The fourth proportional to 17,752.46, 24,498.27 and 9,686.07 is: 13,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,752.46 : 24,498.27 = 9,686.07 : x
  2. Step 2: Convert to fraction form
    17,752.46/24,498.27 = 9,686.07/x
  3. Step 3: Cross multiply
    17,752.46x = 24,498.27 × 9,686.07
  4. Step 4: Simplify right side
    17,752.46x = 237,291,958.10
  5. Step 5: Solve for x
    x = 237,291,958.10/17,752.46
  6. Step 6: Final answer
    x = 13,366.71

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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.