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Finding the Fourth Proportional to 24,459.50, 36,689.34 and 5,991.50

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Solution

The fourth proportional to 24,459.50, 36,689.34 and 5,991.50 is: 8,987.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,459.50 : 36,689.34 = 5,991.50 : x
  2. Step 2: Convert to fraction form
    24,459.50/36,689.34 = 5,991.50/x
  3. Step 3: Cross multiply
    24,459.50x = 36,689.34 × 5,991.50
  4. Step 4: Simplify right side
    24,459.50x = 219,824,180.61
  5. Step 5: Solve for x
    x = 219,824,180.61/24,459.50
  6. Step 6: Final answer
    x = 8,987.27

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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.