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Finding the Fourth Proportional to 22,966.06, 34,452.70 and 9,818.50

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Solution

The fourth proportional to 22,966.06, 34,452.70 and 9,818.50 is: 14,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966.06 : 34,452.70 = 9,818.50 : x
  2. Step 2: Convert to fraction form
    22,966.06/34,452.70 = 9,818.50/x
  3. Step 3: Cross multiply
    22,966.06x = 34,452.70 × 9,818.50
  4. Step 4: Simplify right side
    22,966.06x = 338,273,834.95
  5. Step 5: Solve for x
    x = 338,273,834.95/22,966.06
  6. Step 6: Final answer
    x = 14,729.29

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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.