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Finding the Fourth Proportional to 27,689.34, 38,211.31 and 17,085.13

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Solution

The fourth proportional to 27,689.34, 38,211.31 and 17,085.13 is: 23,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,689.34 : 38,211.31 = 17,085.13 : x
  2. Step 2: Convert to fraction form
    27,689.34/38,211.31 = 17,085.13/x
  3. Step 3: Cross multiply
    27,689.34x = 38,211.31 × 17,085.13
  4. Step 4: Simplify right side
    27,689.34x = 652,845,124.65
  5. Step 5: Solve for x
    x = 652,845,124.65/27,689.34
  6. Step 6: Final answer
    x = 23,577.49

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