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Finding the Fourth Proportional to 27,584.08, 38,066.16 and 15,008.92

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Solution

The fourth proportional to 27,584.08, 38,066.16 and 15,008.92 is: 20,712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584.08 : 38,066.16 = 15,008.92 : x
  2. Step 2: Convert to fraction form
    27,584.08/38,066.16 = 15,008.92/x
  3. Step 3: Cross multiply
    27,584.08x = 38,066.16 × 15,008.92
  4. Step 4: Simplify right side
    27,584.08x = 571,331,950.15
  5. Step 5: Solve for x
    x = 571,331,950.15/27,584.08
  6. Step 6: Final answer
    x = 20,712.38

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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.