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Finding the Fourth Proportional to 24,179.84, 36,262.08 and 7,760

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Solution

The fourth proportional to 24,179.84, 36,262.08 and 7,760 is: 11,637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,179.84 : 36,262.08 = 7,760 : x
  2. Step 2: Convert to fraction form
    24,179.84/36,262.08 = 7,760/x
  3. Step 3: Cross multiply
    24,179.84x = 36,262.08 × 7,760
  4. Step 4: Simplify right side
    24,179.84x = 281,393,740.80
  5. Step 5: Solve for x
    x = 281,393,740.80/24,179.84
  6. Step 6: Final answer
    x = 11,637.54

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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.