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Finding the Fourth Proportional to 15,116.16, 20,860.27 and 8,401.57

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Solution

The fourth proportional to 15,116.16, 20,860.27 and 8,401.57 is: 11,594.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,116.16 : 20,860.27 = 8,401.57 : x
  2. Step 2: Convert to fraction form
    15,116.16/20,860.27 = 8,401.57/x
  3. Step 3: Cross multiply
    15,116.16x = 20,860.27 × 8,401.57
  4. Step 4: Simplify right side
    15,116.16x = 175,259,018.62
  5. Step 5: Solve for x
    x = 175,259,018.62/15,116.16
  6. Step 6: Final answer
    x = 11,594.15

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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.