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Finding the Fourth Proportional to 27,586, 38,069.29 and 15,010.75

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Solution

The fourth proportional to 27,586, 38,069.29 and 15,010.75 is: 20,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,586 : 38,069.29 = 15,010.75 : x
  2. Step 2: Convert to fraction form
    27,586/38,069.29 = 15,010.75/x
  3. Step 3: Cross multiply
    27,586x = 38,069.29 × 15,010.75
  4. Step 4: Simplify right side
    27,586x = 571,448,594.87
  5. Step 5: Solve for x
    x = 571,448,594.87/27,586
  6. Step 6: Final answer
    x = 20,715.17

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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.