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Finding the Fourth Proportional to 10,170.12, 15,228.48 and 8,185.20

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Solution

The fourth proportional to 10,170.12, 15,228.48 and 8,185.20 is: 12,256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.12 : 15,228.48 = 8,185.20 : x
  2. Step 2: Convert to fraction form
    10,170.12/15,228.48 = 8,185.20/x
  3. Step 3: Cross multiply
    10,170.12x = 15,228.48 × 8,185.20
  4. Step 4: Simplify right side
    10,170.12x = 124,648,154.50
  5. Step 5: Solve for x
    x = 124,648,154.50/10,170.12
  6. Step 6: Final answer
    x = 12,256.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.