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Finding the Fourth Proportional to 24,000.14, 33,120.14 and 13,389.68

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Solution

The fourth proportional to 24,000.14, 33,120.14 and 13,389.68 is: 18,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000.14 : 33,120.14 = 13,389.68 : x
  2. Step 2: Convert to fraction form
    24,000.14/33,120.14 = 13,389.68/x
  3. Step 3: Cross multiply
    24,000.14x = 33,120.14 × 13,389.68
  4. Step 4: Simplify right side
    24,000.14x = 443,468,076.16
  5. Step 5: Solve for x
    x = 443,468,076.16/24,000.14
  6. Step 6: Final answer
    x = 18,477.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.