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Finding the Fourth Proportional to 24,234.90, 36,348.12 and 6,465.78

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Solution

The fourth proportional to 24,234.90, 36,348.12 and 6,465.78 is: 9,697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,234.90 : 36,348.12 = 6,465.78 : x
  2. Step 2: Convert to fraction form
    24,234.90/36,348.12 = 6,465.78/x
  3. Step 3: Cross multiply
    24,234.90x = 36,348.12 × 6,465.78
  4. Step 4: Simplify right side
    24,234.90x = 235,018,947.33
  5. Step 5: Solve for x
    x = 235,018,947.33/24,234.90
  6. Step 6: Final answer
    x = 9,697.54

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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.