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Finding the Fourth Proportional to 16,523.56, 24,773.80 and 6,132.52

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Solution

The fourth proportional to 16,523.56, 24,773.80 and 6,132.52 is: 9,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.56 : 24,773.80 = 6,132.52 : x
  2. Step 2: Convert to fraction form
    16,523.56/24,773.80 = 6,132.52/x
  3. Step 3: Cross multiply
    16,523.56x = 24,773.80 × 6,132.52
  4. Step 4: Simplify right side
    16,523.56x = 151,925,823.98
  5. Step 5: Solve for x
    x = 151,925,823.98/16,523.56
  6. Step 6: Final answer
    x = 9,194.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.