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Finding the Fourth Proportional to 15,120.14, 20,866.95 and 8,406.32

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Solution

The fourth proportional to 15,120.14, 20,866.95 and 8,406.32 is: 11,601.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,120.14 : 20,866.95 = 8,406.32 : x
  2. Step 2: Convert to fraction form
    15,120.14/20,866.95 = 8,406.32/x
  3. Step 3: Cross multiply
    15,120.14x = 20,866.95 × 8,406.32
  4. Step 4: Simplify right side
    15,120.14x = 175,414,154.79
  5. Step 5: Solve for x
    x = 175,414,154.79/15,120.14
  6. Step 6: Final answer
    x = 11,601.36

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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.