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Finding the Fourth Proportional to 20,805.17, 31,215.41 and 14,928.95

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Solution

The fourth proportional to 20,805.17, 31,215.41 and 14,928.95 is: 22,398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.17 : 31,215.41 = 14,928.95 : x
  2. Step 2: Convert to fraction form
    20,805.17/31,215.41 = 14,928.95/x
  3. Step 3: Cross multiply
    20,805.17x = 31,215.41 × 14,928.95
  4. Step 4: Simplify right side
    20,805.17x = 466,013,354.50
  5. Step 5: Solve for x
    x = 466,013,354.50/20,805.17
  6. Step 6: Final answer
    x = 22,398.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.