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Finding the Fourth Proportional to 24,154.54, 36,233.42 and 8,361.16

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Solution

The fourth proportional to 24,154.54, 36,233.42 and 8,361.16 is: 12,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,154.54 : 36,233.42 = 8,361.16 : x
  2. Step 2: Convert to fraction form
    24,154.54/36,233.42 = 8,361.16/x
  3. Step 3: Cross multiply
    24,154.54x = 36,233.42 × 8,361.16
  4. Step 4: Simplify right side
    24,154.54x = 302,953,421.97
  5. Step 5: Solve for x
    x = 302,953,421.97/24,154.54
  6. Step 6: Final answer
    x = 12,542.30

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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.