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Finding the Fourth Proportional to 13,851.70, 20,784.38 and 8,585.28

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Solution

The fourth proportional to 13,851.70, 20,784.38 and 8,585.28 is: 12,882.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.70 : 20,784.38 = 8,585.28 : x
  2. Step 2: Convert to fraction form
    13,851.70/20,784.38 = 8,585.28/x
  3. Step 3: Cross multiply
    13,851.70x = 20,784.38 × 8,585.28
  4. Step 4: Simplify right side
    13,851.70x = 178,439,721.93
  5. Step 5: Solve for x
    x = 178,439,721.93/13,851.70
  6. Step 6: Final answer
    x = 12,882.15

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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.