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Finding the Fourth Proportional to 15,295.17, 22,905.66 and 7,778.97

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Solution

The fourth proportional to 15,295.17, 22,905.66 and 7,778.97 is: 11,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,295.17 : 22,905.66 = 7,778.97 : x
  2. Step 2: Convert to fraction form
    15,295.17/22,905.66 = 7,778.97/x
  3. Step 3: Cross multiply
    15,295.17x = 22,905.66 × 7,778.97
  4. Step 4: Simplify right side
    15,295.17x = 178,182,441.97
  5. Step 5: Solve for x
    x = 178,182,441.97/15,295.17
  6. Step 6: Final answer
    x = 11,649.59

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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.