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Finding the Fourth Proportional to 22,034.88, 30,416.22 and 16,097.04

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Solution

The fourth proportional to 22,034.88, 30,416.22 and 16,097.04 is: 22,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,034.88 : 30,416.22 = 16,097.04 : x
  2. Step 2: Convert to fraction form
    22,034.88/30,416.22 = 16,097.04/x
  3. Step 3: Cross multiply
    22,034.88x = 30,416.22 × 16,097.04
  4. Step 4: Simplify right side
    22,034.88x = 489,611,109.99
  5. Step 5: Solve for x
    x = 489,611,109.99/22,034.88
  6. Step 6: Final answer
    x = 22,219.82

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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.