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Finding the Fourth Proportional to 22,829.40, 34,246.83 and 9,680.06

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Solution

The fourth proportional to 22,829.40, 34,246.83 and 9,680.06 is: 14,521.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,829.40 : 34,246.83 = 9,680.06 : x
  2. Step 2: Convert to fraction form
    22,829.40/34,246.83 = 9,680.06/x
  3. Step 3: Cross multiply
    22,829.40x = 34,246.83 × 9,680.06
  4. Step 4: Simplify right side
    22,829.40x = 331,511,491.13
  5. Step 5: Solve for x
    x = 331,511,491.13/22,829.40
  6. Step 6: Final answer
    x = 14,521.25

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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.