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Finding the Fourth Proportional to 15,340.86, 22,996.71 and 9,778.59

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Solution

The fourth proportional to 15,340.86, 22,996.71 and 9,778.59 is: 14,658.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,340.86 : 22,996.71 = 9,778.59 : x
  2. Step 2: Convert to fraction form
    15,340.86/22,996.71 = 9,778.59/x
  3. Step 3: Cross multiply
    15,340.86x = 22,996.71 × 9,778.59
  4. Step 4: Simplify right side
    15,340.86x = 224,875,398.44
  5. Step 5: Solve for x
    x = 224,875,398.44/15,340.86
  6. Step 6: Final answer
    x = 14,658.59

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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.