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Finding the Fourth Proportional to 12,291.43, 16,963.48 and 7,514.17

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Solution

The fourth proportional to 12,291.43, 16,963.48 and 7,514.17 is: 10,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.43 : 16,963.48 = 7,514.17 : x
  2. Step 2: Convert to fraction form
    12,291.43/16,963.48 = 7,514.17/x
  3. Step 3: Cross multiply
    12,291.43x = 16,963.48 × 7,514.17
  4. Step 4: Simplify right side
    12,291.43x = 127,466,472.51
  5. Step 5: Solve for x
    x = 127,466,472.51/12,291.43
  6. Step 6: Final answer
    x = 10,370.35

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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.