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Finding the Fourth Proportional to 24,523.76, 36,779.14 and 6,750.20

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Solution

The fourth proportional to 24,523.76, 36,779.14 and 6,750.20 is: 10,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.76 : 36,779.14 = 6,750.20 : x
  2. Step 2: Convert to fraction form
    24,523.76/36,779.14 = 6,750.20/x
  3. Step 3: Cross multiply
    24,523.76x = 36,779.14 × 6,750.20
  4. Step 4: Simplify right side
    24,523.76x = 248,266,550.83
  5. Step 5: Solve for x
    x = 248,266,550.83/24,523.76
  6. Step 6: Final answer
    x = 10,123.51

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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.