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Finding the Fourth Proportional to 27,658, 38,170.92 and 17,047.36

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Solution

The fourth proportional to 27,658, 38,170.92 and 17,047.36 is: 23,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,658 : 38,170.92 = 17,047.36 : x
  2. Step 2: Convert to fraction form
    27,658/38,170.92 = 17,047.36/x
  3. Step 3: Cross multiply
    27,658x = 38,170.92 × 17,047.36
  4. Step 4: Simplify right side
    27,658x = 650,713,414.77
  5. Step 5: Solve for x
    x = 650,713,414.77/27,658
  6. Step 6: Final answer
    x = 23,527.13

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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.