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Finding the Fourth Proportional to 22,306.32, 33,418.14 and 15,968.16

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Solution

The fourth proportional to 22,306.32, 33,418.14 and 15,968.16 is: 23,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,306.32 : 33,418.14 = 15,968.16 : x
  2. Step 2: Convert to fraction form
    22,306.32/33,418.14 = 15,968.16/x
  3. Step 3: Cross multiply
    22,306.32x = 33,418.14 × 15,968.16
  4. Step 4: Simplify right side
    22,306.32x = 533,626,206.42
  5. Step 5: Solve for x
    x = 533,626,206.42/22,306.32
  6. Step 6: Final answer
    x = 23,922.65

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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.