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Finding the Fourth Proportional to 24,524, 36,786.72 and 6,056

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Solution

The fourth proportional to 24,524, 36,786.72 and 6,056 is: 9,084.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,524 : 36,786.72 = 6,056 : x
  2. Step 2: Convert to fraction form
    24,524/36,786.72 = 6,056/x
  3. Step 3: Cross multiply
    24,524x = 36,786.72 × 6,056
  4. Step 4: Simplify right side
    24,524x = 222,780,376.32
  5. Step 5: Solve for x
    x = 222,780,376.32/24,524
  6. Step 6: Final answer
    x = 9,084.18

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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.