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Finding the Fourth Proportional to 15,514.94, 23,278.05 and 7,616.63

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Solution

The fourth proportional to 15,514.94, 23,278.05 and 7,616.63 is: 11,427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,514.94 : 23,278.05 = 7,616.63 : x
  2. Step 2: Convert to fraction form
    15,514.94/23,278.05 = 7,616.63/x
  3. Step 3: Cross multiply
    15,514.94x = 23,278.05 × 7,616.63
  4. Step 4: Simplify right side
    15,514.94x = 177,300,177.58
  5. Step 5: Solve for x
    x = 177,300,177.58/15,514.94
  6. Step 6: Final answer
    x = 11,427.71

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