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Finding the Fourth Proportional to 27,584.92, 38,066.92 and 15,009.64

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Solution

The fourth proportional to 27,584.92, 38,066.92 and 15,009.64 is: 20,713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584.92 : 38,066.92 = 15,009.64 : x
  2. Step 2: Convert to fraction form
    27,584.92/38,066.92 = 15,009.64/x
  3. Step 3: Cross multiply
    27,584.92x = 38,066.92 × 15,009.64
  4. Step 4: Simplify right side
    27,584.92x = 571,370,765.11
  5. Step 5: Solve for x
    x = 571,370,765.11/27,584.92
  6. Step 6: Final answer
    x = 20,713.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.