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Finding the Fourth Proportional to 10,204.76, 15,182.92 and 10,170.20

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Solution

The fourth proportional to 10,204.76, 15,182.92 and 10,170.20 is: 15,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.76 : 15,182.92 = 10,170.20 : x
  2. Step 2: Convert to fraction form
    10,204.76/15,182.92 = 10,170.20/x
  3. Step 3: Cross multiply
    10,204.76x = 15,182.92 × 10,170.20
  4. Step 4: Simplify right side
    10,204.76x = 154,413,332.98
  5. Step 5: Solve for x
    x = 154,413,332.98/10,204.76
  6. Step 6: Final answer
    x = 15,131.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.