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Finding the Fourth Proportional to 22,868.34, 34,306.59 and 8,085.84

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Solution

The fourth proportional to 22,868.34, 34,306.59 and 8,085.84 is: 12,130.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,868.34 : 34,306.59 = 8,085.84 : x
  2. Step 2: Convert to fraction form
    22,868.34/34,306.59 = 8,085.84/x
  3. Step 3: Cross multiply
    22,868.34x = 34,306.59 × 8,085.84
  4. Step 4: Simplify right side
    22,868.34x = 277,397,597.69
  5. Step 5: Solve for x
    x = 277,397,597.69/22,868.34
  6. Step 6: Final answer
    x = 12,130.20

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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.