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Finding the Fourth Proportional to 17,789.76, 24,549.51 and 9,831.81

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Solution

The fourth proportional to 17,789.76, 24,549.51 and 9,831.81 is: 13,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,789.76 : 24,549.51 = 9,831.81 : x
  2. Step 2: Convert to fraction form
    17,789.76/24,549.51 = 9,831.81/x
  3. Step 3: Cross multiply
    17,789.76x = 24,549.51 × 9,831.81
  4. Step 4: Simplify right side
    17,789.76x = 241,366,117.91
  5. Step 5: Solve for x
    x = 241,366,117.91/17,789.76
  6. Step 6: Final answer
    x = 13,567.70

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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.