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Finding the Fourth Proportional to 15,514.88, 21,410.64 and 9,141.76

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Solution

The fourth proportional to 15,514.88, 21,410.64 and 9,141.76 is: 12,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,514.88 : 21,410.64 = 9,141.76 : x
  2. Step 2: Convert to fraction form
    15,514.88/21,410.64 = 9,141.76/x
  3. Step 3: Cross multiply
    15,514.88x = 21,410.64 × 9,141.76
  4. Step 4: Simplify right side
    15,514.88x = 195,730,932.33
  5. Step 5: Solve for x
    x = 195,730,932.33/15,514.88
  6. Step 6: Final answer
    x = 12,615.69

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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.