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Finding the Fourth Proportional to 15,122.14, 20,866.26 and 8,407.82

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Solution

The fourth proportional to 15,122.14, 20,866.26 and 8,407.82 is: 11,601.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122.14 : 20,866.26 = 8,407.82 : x
  2. Step 2: Convert to fraction form
    15,122.14/20,866.26 = 8,407.82/x
  3. Step 3: Cross multiply
    15,122.14x = 20,866.26 × 8,407.82
  4. Step 4: Simplify right side
    15,122.14x = 175,439,758.15
  5. Step 5: Solve for x
    x = 175,439,758.15/15,122.14
  6. Step 6: Final answer
    x = 11,601.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.