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Finding the Fourth Proportional to 24,512.02, 36,772.80 and 7,870.78

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Solution

The fourth proportional to 24,512.02, 36,772.80 and 7,870.78 is: 11,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,512.02 : 36,772.80 = 7,870.78 : x
  2. Step 2: Convert to fraction form
    24,512.02/36,772.80 = 7,870.78/x
  3. Step 3: Cross multiply
    24,512.02x = 36,772.80 × 7,870.78
  4. Step 4: Simplify right side
    24,512.02x = 289,430,618.78
  5. Step 5: Solve for x
    x = 289,430,618.78/24,512.02
  6. Step 6: Final answer
    x = 11,807.70

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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.