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Finding the Fourth Proportional to 27,714.30, 41,587.84 and 10,196.42

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Solution

The fourth proportional to 27,714.30, 41,587.84 and 10,196.42 is: 15,300.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714.30 : 41,587.84 = 10,196.42 : x
  2. Step 2: Convert to fraction form
    27,714.30/41,587.84 = 10,196.42/x
  3. Step 3: Cross multiply
    27,714.30x = 41,587.84 × 10,196.42
  4. Step 4: Simplify right side
    27,714.30x = 424,047,083.53
  5. Step 5: Solve for x
    x = 424,047,083.53/27,714.30
  6. Step 6: Final answer
    x = 15,300.66

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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.