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Finding the Fourth Proportional to 13,149.52, 18,148.16 and 8,370

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Solution

The fourth proportional to 13,149.52, 18,148.16 and 8,370 is: 11,551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.52 : 18,148.16 = 8,370 : x
  2. Step 2: Convert to fraction form
    13,149.52/18,148.16 = 8,370/x
  3. Step 3: Cross multiply
    13,149.52x = 18,148.16 × 8,370
  4. Step 4: Simplify right side
    13,149.52x = 151,900,099.20
  5. Step 5: Solve for x
    x = 151,900,099.20/13,149.52
  6. Step 6: Final answer
    x = 11,551.76

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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.