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Finding the Fourth Proportional to 15,117.42, 20,859.55 and 8,402.86

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Solution

The fourth proportional to 15,117.42, 20,859.55 and 8,402.86 is: 11,594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,117.42 : 20,859.55 = 8,402.86 : x
  2. Step 2: Convert to fraction form
    15,117.42/20,859.55 = 8,402.86/x
  3. Step 3: Cross multiply
    15,117.42x = 20,859.55 × 8,402.86
  4. Step 4: Simplify right side
    15,117.42x = 175,279,878.31
  5. Step 5: Solve for x
    x = 175,279,878.31/15,117.42
  6. Step 6: Final answer
    x = 11,594.56

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