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Finding the Fourth Proportional to 14,868.31, 20,516.78 and 8,582.71

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Solution

The fourth proportional to 14,868.31, 20,516.78 and 8,582.71 is: 11,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,868.31 : 20,516.78 = 8,582.71 : x
  2. Step 2: Convert to fraction form
    14,868.31/20,516.78 = 8,582.71/x
  3. Step 3: Cross multiply
    14,868.31x = 20,516.78 × 8,582.71
  4. Step 4: Simplify right side
    14,868.31x = 176,089,470.29
  5. Step 5: Solve for x
    x = 176,089,470.29/14,868.31
  6. Step 6: Final answer
    x = 11,843.28

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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.