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Finding the Fourth Proportional to 24,089.28, 36,124.95 and 8,289.90

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Solution

The fourth proportional to 24,089.28, 36,124.95 and 8,289.90 is: 12,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,089.28 : 36,124.95 = 8,289.90 : x
  2. Step 2: Convert to fraction form
    24,089.28/36,124.95 = 8,289.90/x
  3. Step 3: Cross multiply
    24,089.28x = 36,124.95 × 8,289.90
  4. Step 4: Simplify right side
    24,089.28x = 299,472,223.01
  5. Step 5: Solve for x
    x = 299,472,223.01/24,089.28
  6. Step 6: Final answer
    x = 12,431.76

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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.