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Finding the Fourth Proportional to 27,660.42, 38,165.65 and 17,585.17

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Solution

The fourth proportional to 27,660.42, 38,165.65 and 17,585.17 is: 24,263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,660.42 : 38,165.65 = 17,585.17 : x
  2. Step 2: Convert to fraction form
    27,660.42/38,165.65 = 17,585.17/x
  3. Step 3: Cross multiply
    27,660.42x = 38,165.65 × 17,585.17
  4. Step 4: Simplify right side
    27,660.42x = 671,149,304.03
  5. Step 5: Solve for x
    x = 671,149,304.03/27,660.42
  6. Step 6: Final answer
    x = 24,263.89

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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.