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Finding the Fourth Proportional to 24,814.40, 37,228.08 and 9,232.16

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Solution

The fourth proportional to 24,814.40, 37,228.08 and 9,232.16 is: 13,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814.40 : 37,228.08 = 9,232.16 : x
  2. Step 2: Convert to fraction form
    24,814.40/37,228.08 = 9,232.16/x
  3. Step 3: Cross multiply
    24,814.40x = 37,228.08 × 9,232.16
  4. Step 4: Simplify right side
    24,814.40x = 343,695,591.05
  5. Step 5: Solve for x
    x = 343,695,591.05/24,814.40
  6. Step 6: Final answer
    x = 13,850.65

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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.