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Finding the Fourth Proportional to 24,225.99, 36,318.46 and 9,445.24

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Solution

The fourth proportional to 24,225.99, 36,318.46 and 9,445.24 is: 14,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,225.99 : 36,318.46 = 9,445.24 : x
  2. Step 2: Convert to fraction form
    24,225.99/36,318.46 = 9,445.24/x
  3. Step 3: Cross multiply
    24,225.99x = 36,318.46 × 9,445.24
  4. Step 4: Simplify right side
    24,225.99x = 343,036,571.13
  5. Step 5: Solve for x
    x = 343,036,571.13/24,225.99
  6. Step 6: Final answer
    x = 14,159.86

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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.