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Finding the Fourth Proportional to 13,780.10, 20,672.88 and 5,458.57

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Solution

The fourth proportional to 13,780.10, 20,672.88 and 5,458.57 is: 8,188.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.10 : 20,672.88 = 5,458.57 : x
  2. Step 2: Convert to fraction form
    13,780.10/20,672.88 = 5,458.57/x
  3. Step 3: Cross multiply
    13,780.10x = 20,672.88 × 5,458.57
  4. Step 4: Simplify right side
    13,780.10x = 112,844,362.58
  5. Step 5: Solve for x
    x = 112,844,362.58/13,780.10
  6. Step 6: Final answer
    x = 8,188.94

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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.