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Finding the Fourth Proportional to 13,197.74, 19,799.24 and 4,432.32

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Solution

The fourth proportional to 13,197.74, 19,799.24 and 4,432.32 is: 6,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.74 : 19,799.24 = 4,432.32 : x
  2. Step 2: Convert to fraction form
    13,197.74/19,799.24 = 4,432.32/x
  3. Step 3: Cross multiply
    13,197.74x = 19,799.24 × 4,432.32
  4. Step 4: Simplify right side
    13,197.74x = 87,756,545.28
  5. Step 5: Solve for x
    x = 87,756,545.28/13,197.74
  6. Step 6: Final answer
    x = 6,649.36

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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.