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Finding the Fourth Proportional to 24,632.28, 33,994.27 and 13,731.11

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Solution

The fourth proportional to 24,632.28, 33,994.27 and 13,731.11 is: 18,949.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,632.28 : 33,994.27 = 13,731.11 : x
  2. Step 2: Convert to fraction form
    24,632.28/33,994.27 = 13,731.11/x
  3. Step 3: Cross multiply
    24,632.28x = 33,994.27 × 13,731.11
  4. Step 4: Simplify right side
    24,632.28x = 466,779,060.74
  5. Step 5: Solve for x
    x = 466,779,060.74/24,632.28
  6. Step 6: Final answer
    x = 18,949.89

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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.