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Finding the Fourth Proportional to 27,966.40, 38,593.13 and 15,219.14

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Solution

The fourth proportional to 27,966.40, 38,593.13 and 15,219.14 is: 21,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,966.40 : 38,593.13 = 15,219.14 : x
  2. Step 2: Convert to fraction form
    27,966.40/38,593.13 = 15,219.14/x
  3. Step 3: Cross multiply
    27,966.40x = 38,593.13 × 15,219.14
  4. Step 4: Simplify right side
    27,966.40x = 587,353,979.45
  5. Step 5: Solve for x
    x = 587,353,979.45/27,966.40
  6. Step 6: Final answer
    x = 21,002.13

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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.