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Finding the Fourth Proportional to 27,780.84, 38,337.48 and 15,205.50

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Solution

The fourth proportional to 27,780.84, 38,337.48 and 15,205.50 is: 20,983.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780.84 : 38,337.48 = 15,205.50 : x
  2. Step 2: Convert to fraction form
    27,780.84/38,337.48 = 15,205.50/x
  3. Step 3: Cross multiply
    27,780.84x = 38,337.48 × 15,205.50
  4. Step 4: Simplify right side
    27,780.84x = 582,940,552.14
  5. Step 5: Solve for x
    x = 582,940,552.14/27,780.84
  6. Step 6: Final answer
    x = 20,983.55

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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.