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Finding the Fourth Proportional to 15,120.02, 20,866.34 and 8,405.76

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Solution

The fourth proportional to 15,120.02, 20,866.34 and 8,405.76 is: 11,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,120.02 : 20,866.34 = 8,405.76 : x
  2. Step 2: Convert to fraction form
    15,120.02/20,866.34 = 8,405.76/x
  3. Step 3: Cross multiply
    15,120.02x = 20,866.34 × 8,405.76
  4. Step 4: Simplify right side
    15,120.02x = 175,397,372.94
  5. Step 5: Solve for x
    x = 175,397,372.94/15,120.02
  6. Step 6: Final answer
    x = 11,600.34

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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.