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Finding the Fourth Proportional to 24,182.76, 36,280.44 and 9,190.17

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Solution

The fourth proportional to 24,182.76, 36,280.44 and 9,190.17 is: 13,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,182.76 : 36,280.44 = 9,190.17 : x
  2. Step 2: Convert to fraction form
    24,182.76/36,280.44 = 9,190.17/x
  3. Step 3: Cross multiply
    24,182.76x = 36,280.44 × 9,190.17
  4. Step 4: Simplify right side
    24,182.76x = 333,423,411.27
  5. Step 5: Solve for x
    x = 333,423,411.27/24,182.76
  6. Step 6: Final answer
    x = 13,787.65

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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.