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Finding the Fourth Proportional to 27,584.42, 38,066.13 and 15,009.14

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Solution

The fourth proportional to 27,584.42, 38,066.13 and 15,009.14 is: 20,712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584.42 : 38,066.13 = 15,009.14 : x
  2. Step 2: Convert to fraction form
    27,584.42/38,066.13 = 15,009.14/x
  3. Step 3: Cross multiply
    27,584.42x = 38,066.13 × 15,009.14
  4. Step 4: Simplify right side
    27,584.42x = 571,339,874.43
  5. Step 5: Solve for x
    x = 571,339,874.43/27,584.42
  6. Step 6: Final answer
    x = 20,712.41

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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.