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Finding the Fourth Proportional to 27,584.31, 38,066.31 and 15,009.06

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Solution

The fourth proportional to 27,584.31, 38,066.31 and 15,009.06 is: 20,712.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584.31 : 38,066.31 = 15,009.06 : x
  2. Step 2: Convert to fraction form
    27,584.31/38,066.31 = 15,009.06/x
  3. Step 3: Cross multiply
    27,584.31x = 38,066.31 × 15,009.06
  4. Step 4: Simplify right side
    27,584.31x = 571,339,530.77
  5. Step 5: Solve for x
    x = 571,339,530.77/27,584.31
  6. Step 6: Final answer
    x = 20,712.48

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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.