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Finding the Fourth Proportional to 15,059.71, 20,782.56 and 8,345.80

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Solution

The fourth proportional to 15,059.71, 20,782.56 and 8,345.80 is: 11,517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,059.71 : 20,782.56 = 8,345.80 : x
  2. Step 2: Convert to fraction form
    15,059.71/20,782.56 = 8,345.80/x
  3. Step 3: Cross multiply
    15,059.71x = 20,782.56 × 8,345.80
  4. Step 4: Simplify right side
    15,059.71x = 173,447,089.25
  5. Step 5: Solve for x
    x = 173,447,089.25/15,059.71
  6. Step 6: Final answer
    x = 11,517.29

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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.