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Finding the Fourth Proportional to 23,098.22, 34,643.54 and 8,304.38

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Solution

The fourth proportional to 23,098.22, 34,643.54 and 8,304.38 is: 12,455.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,098.22 : 34,643.54 = 8,304.38 : x
  2. Step 2: Convert to fraction form
    23,098.22/34,643.54 = 8,304.38/x
  3. Step 3: Cross multiply
    23,098.22x = 34,643.54 × 8,304.38
  4. Step 4: Simplify right side
    23,098.22x = 287,693,120.71
  5. Step 5: Solve for x
    x = 287,693,120.71/23,098.22
  6. Step 6: Final answer
    x = 12,455.21

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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.