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Finding the Fourth Proportional to 24,620.50, 36,930.75 and 6,152.50

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Solution

The fourth proportional to 24,620.50, 36,930.75 and 6,152.50 is: 9,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,620.50 : 36,930.75 = 6,152.50 : x
  2. Step 2: Convert to fraction form
    24,620.50/36,930.75 = 6,152.50/x
  3. Step 3: Cross multiply
    24,620.50x = 36,930.75 × 6,152.50
  4. Step 4: Simplify right side
    24,620.50x = 227,216,439.38
  5. Step 5: Solve for x
    x = 227,216,439.38/24,620.50
  6. Step 6: Final answer
    x = 9,228.75

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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.