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Finding the Fourth Proportional to 13,454.71, 20,182.16 and 4,689.60

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Solution

The fourth proportional to 13,454.71, 20,182.16 and 4,689.60 is: 7,034.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.71 : 20,182.16 = 4,689.60 : x
  2. Step 2: Convert to fraction form
    13,454.71/20,182.16 = 4,689.60/x
  3. Step 3: Cross multiply
    13,454.71x = 20,182.16 × 4,689.60
  4. Step 4: Simplify right side
    13,454.71x = 94,646,193.58
  5. Step 5: Solve for x
    x = 94,646,193.58/13,454.71
  6. Step 6: Final answer
    x = 7,034.43

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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.