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Finding the Fourth Proportional to 24,180.84, 36,263.58 and 7,761

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Solution

The fourth proportional to 24,180.84, 36,263.58 and 7,761 is: 11,639.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,180.84 : 36,263.58 = 7,761 : x
  2. Step 2: Convert to fraction form
    24,180.84/36,263.58 = 7,761/x
  3. Step 3: Cross multiply
    24,180.84x = 36,263.58 × 7,761
  4. Step 4: Simplify right side
    24,180.84x = 281,441,644.38
  5. Step 5: Solve for x
    x = 281,441,644.38/24,180.84
  6. Step 6: Final answer
    x = 11,639.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.