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Finding the Fourth Proportional to 24,013.76, 33,129.12 and 14,580.80

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Solution

The fourth proportional to 24,013.76, 33,129.12 and 14,580.80 is: 20,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,013.76 : 33,129.12 = 14,580.80 : x
  2. Step 2: Convert to fraction form
    24,013.76/33,129.12 = 14,580.80/x
  3. Step 3: Cross multiply
    24,013.76x = 33,129.12 × 14,580.80
  4. Step 4: Simplify right side
    24,013.76x = 483,049,072.90
  5. Step 5: Solve for x
    x = 483,049,072.90/24,013.76
  6. Step 6: Final answer
    x = 20,115.51

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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.