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Finding the Fourth Proportional to 15,205.86, 22,812.30 and 6,441.12

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Solution

The fourth proportional to 15,205.86, 22,812.30 and 6,441.12 is: 9,663.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.86 : 22,812.30 = 6,441.12 : x
  2. Step 2: Convert to fraction form
    15,205.86/22,812.30 = 6,441.12/x
  3. Step 3: Cross multiply
    15,205.86x = 22,812.30 × 6,441.12
  4. Step 4: Simplify right side
    15,205.86x = 146,936,761.78
  5. Step 5: Solve for x
    x = 146,936,761.78/15,205.86
  6. Step 6: Final answer
    x = 9,663.17

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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.