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Finding the Fourth Proportional to 15,340.74, 22,996.52 and 9,778.47

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Solution

The fourth proportional to 15,340.74, 22,996.52 and 9,778.47 is: 14,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,340.74 : 22,996.52 = 9,778.47 : x
  2. Step 2: Convert to fraction form
    15,340.74/22,996.52 = 9,778.47/x
  3. Step 3: Cross multiply
    15,340.74x = 22,996.52 × 9,778.47
  4. Step 4: Simplify right side
    15,340.74x = 224,870,665.94
  5. Step 5: Solve for x
    x = 224,870,665.94/15,340.74
  6. Step 6: Final answer
    x = 14,658.40

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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.