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Finding the Fourth Proportional to 24,285.12, 36,406.07 and 9,490.67

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Solution

The fourth proportional to 24,285.12, 36,406.07 and 9,490.67 is: 14,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,285.12 : 36,406.07 = 9,490.67 : x
  2. Step 2: Convert to fraction form
    24,285.12/36,406.07 = 9,490.67/x
  3. Step 3: Cross multiply
    24,285.12x = 36,406.07 × 9,490.67
  4. Step 4: Simplify right side
    24,285.12x = 345,518,063.66
  5. Step 5: Solve for x
    x = 345,518,063.66/24,285.12
  6. Step 6: Final answer
    x = 14,227.56

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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.