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Finding the Fourth Proportional to 24,616.52, 36,926.40 and 7,086.50

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Solution

The fourth proportional to 24,616.52, 36,926.40 and 7,086.50 is: 10,630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,616.52 : 36,926.40 = 7,086.50 : x
  2. Step 2: Convert to fraction form
    24,616.52/36,926.40 = 7,086.50/x
  3. Step 3: Cross multiply
    24,616.52x = 36,926.40 × 7,086.50
  4. Step 4: Simplify right side
    24,616.52x = 261,678,748.97
  5. Step 5: Solve for x
    x = 261,678,748.97/24,616.52
  6. Step 6: Final answer
    x = 10,630.21

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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.