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Finding the Fourth Proportional to 12,509.95, 18,764.90 and 5,932.55

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Solution

The fourth proportional to 12,509.95, 18,764.90 and 5,932.55 is: 8,898.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.95 : 18,764.90 = 5,932.55 : x
  2. Step 2: Convert to fraction form
    12,509.95/18,764.90 = 5,932.55/x
  3. Step 3: Cross multiply
    12,509.95x = 18,764.90 × 5,932.55
  4. Step 4: Simplify right side
    12,509.95x = 111,323,613.67
  5. Step 5: Solve for x
    x = 111,323,613.67/12,509.95
  6. Step 6: Final answer
    x = 8,898.81

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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.