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Finding the Fourth Proportional to 19,514.42, 29,272.94 and 6,862.66

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Solution

The fourth proportional to 19,514.42, 29,272.94 and 6,862.66 is: 10,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,514.42 : 29,272.94 = 6,862.66 : x
  2. Step 2: Convert to fraction form
    19,514.42/29,272.94 = 6,862.66/x
  3. Step 3: Cross multiply
    19,514.42x = 29,272.94 × 6,862.66
  4. Step 4: Simplify right side
    19,514.42x = 200,890,215.69
  5. Step 5: Solve for x
    x = 200,890,215.69/19,514.42
  6. Step 6: Final answer
    x = 10,294.45

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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.