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Finding the Fourth Proportional to 24,580.50, 36,870.89 and 6,112.50

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Solution

The fourth proportional to 24,580.50, 36,870.89 and 6,112.50 is: 9,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,580.50 : 36,870.89 = 6,112.50 : x
  2. Step 2: Convert to fraction form
    24,580.50/36,870.89 = 6,112.50/x
  3. Step 3: Cross multiply
    24,580.50x = 36,870.89 × 6,112.50
  4. Step 4: Simplify right side
    24,580.50x = 225,373,315.13
  5. Step 5: Solve for x
    x = 225,373,315.13/24,580.50
  6. Step 6: Final answer
    x = 9,168.78

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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.