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Finding the Fourth Proportional to 10,514.97, 14,503.16 and 10,167.44

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Solution

The fourth proportional to 10,514.97, 14,503.16 and 10,167.44 is: 14,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.97 : 14,503.16 = 10,167.44 : x
  2. Step 2: Convert to fraction form
    10,514.97/14,503.16 = 10,167.44/x
  3. Step 3: Cross multiply
    10,514.97x = 14,503.16 × 10,167.44
  4. Step 4: Simplify right side
    10,514.97x = 147,460,027.30
  5. Step 5: Solve for x
    x = 147,460,027.30/10,514.97
  6. Step 6: Final answer
    x = 14,023.82

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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.