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Finding the Fourth Proportional to 27,982.62, 38,616.12 and 15,407.34

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Solution

The fourth proportional to 27,982.62, 38,616.12 and 15,407.34 is: 21,262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982.62 : 38,616.12 = 15,407.34 : x
  2. Step 2: Convert to fraction form
    27,982.62/38,616.12 = 15,407.34/x
  3. Step 3: Cross multiply
    27,982.62x = 38,616.12 × 15,407.34
  4. Step 4: Simplify right side
    27,982.62x = 594,971,690.32
  5. Step 5: Solve for x
    x = 594,971,690.32/27,982.62
  6. Step 6: Final answer
    x = 21,262.19

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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.