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Finding the Fourth Proportional to 24,077.31, 36,102.69 and 7,432.74

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Solution

The fourth proportional to 24,077.31, 36,102.69 and 7,432.74 is: 11,145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,077.31 : 36,102.69 = 7,432.74 : x
  2. Step 2: Convert to fraction form
    24,077.31/36,102.69 = 7,432.74/x
  3. Step 3: Cross multiply
    24,077.31x = 36,102.69 × 7,432.74
  4. Step 4: Simplify right side
    24,077.31x = 268,341,908.07
  5. Step 5: Solve for x
    x = 268,341,908.07/24,077.31
  6. Step 6: Final answer
    x = 11,145.01

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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.