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Finding the Fourth Proportional to 15,144.88, 20,894.13 and 11,175.46

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Solution

The fourth proportional to 15,144.88, 20,894.13 and 11,175.46 is: 15,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,144.88 : 20,894.13 = 11,175.46 : x
  2. Step 2: Convert to fraction form
    15,144.88/20,894.13 = 11,175.46/x
  3. Step 3: Cross multiply
    15,144.88x = 20,894.13 × 11,175.46
  4. Step 4: Simplify right side
    15,144.88x = 233,501,514.05
  5. Step 5: Solve for x
    x = 233,501,514.05/15,144.88
  6. Step 6: Final answer
    x = 15,417.85

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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.