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Finding the Fourth Proportional to 24,812.64, 37,209.24 and 9,225.36

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Solution

The fourth proportional to 24,812.64, 37,209.24 and 9,225.36 is: 13,834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,812.64 : 37,209.24 = 9,225.36 : x
  2. Step 2: Convert to fraction form
    24,812.64/37,209.24 = 9,225.36/x
  3. Step 3: Cross multiply
    24,812.64x = 37,209.24 × 9,225.36
  4. Step 4: Simplify right side
    24,812.64x = 343,268,634.33
  5. Step 5: Solve for x
    x = 343,268,634.33/24,812.64
  6. Step 6: Final answer
    x = 13,834.43

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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.