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Finding the Fourth Proportional to 28,218.16, 38,942.88 and 16,282

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Solution

The fourth proportional to 28,218.16, 38,942.88 and 16,282 is: 22,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,218.16 : 38,942.88 = 16,282 : x
  2. Step 2: Convert to fraction form
    28,218.16/38,942.88 = 16,282/x
  3. Step 3: Cross multiply
    28,218.16x = 38,942.88 × 16,282
  4. Step 4: Simplify right side
    28,218.16x = 634,067,972.16
  5. Step 5: Solve for x
    x = 634,067,972.16/28,218.16
  6. Step 6: Final answer
    x = 22,470.21

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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.