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Finding the Fourth Proportional to 12,458.96, 18,691.36 and 5,534

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Solution

The fourth proportional to 12,458.96, 18,691.36 and 5,534 is: 8,302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,458.96 : 18,691.36 = 5,534 : x
  2. Step 2: Convert to fraction form
    12,458.96/18,691.36 = 5,534/x
  3. Step 3: Cross multiply
    12,458.96x = 18,691.36 × 5,534
  4. Step 4: Simplify right side
    12,458.96x = 103,437,986.24
  5. Step 5: Solve for x
    x = 103,437,986.24/12,458.96
  6. Step 6: Final answer
    x = 8,302.30

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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.