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Finding the Fourth Proportional to 15,145.65, 20,901.15 and 8,340.42

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Solution

The fourth proportional to 15,145.65, 20,901.15 and 8,340.42 is: 11,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,145.65 : 20,901.15 = 8,340.42 : x
  2. Step 2: Convert to fraction form
    15,145.65/20,901.15 = 8,340.42/x
  3. Step 3: Cross multiply
    15,145.65x = 20,901.15 × 8,340.42
  4. Step 4: Simplify right side
    15,145.65x = 174,324,369.48
  5. Step 5: Solve for x
    x = 174,324,369.48/15,145.65
  6. Step 6: Final answer
    x = 11,509.86

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Why These Related Problems?

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