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Finding the Fourth Proportional to 13,458.71, 20,188.16 and 4,693.60

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Solution

The fourth proportional to 13,458.71, 20,188.16 and 4,693.60 is: 7,040.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458.71 : 20,188.16 = 4,693.60 : x
  2. Step 2: Convert to fraction form
    13,458.71/20,188.16 = 4,693.60/x
  3. Step 3: Cross multiply
    13,458.71x = 20,188.16 × 4,693.60
  4. Step 4: Simplify right side
    13,458.71x = 94,755,147.78
  5. Step 5: Solve for x
    x = 94,755,147.78/13,458.71
  6. Step 6: Final answer
    x = 7,040.43

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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.