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Finding the Fourth Proportional to 15,882.63, 21,917.71 and 9,831.27

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Solution

The fourth proportional to 15,882.63, 21,917.71 and 9,831.27 is: 13,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.63 : 21,917.71 = 9,831.27 : x
  2. Step 2: Convert to fraction form
    15,882.63/21,917.71 = 9,831.27/x
  3. Step 3: Cross multiply
    15,882.63x = 21,917.71 × 9,831.27
  4. Step 4: Simplify right side
    15,882.63x = 215,478,963.97
  5. Step 5: Solve for x
    x = 215,478,963.97/15,882.63
  6. Step 6: Final answer
    x = 13,566.96

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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.