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Finding the Fourth Proportional to 23,194.69, 34,810.47 and 8,407.82

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Solution

The fourth proportional to 23,194.69, 34,810.47 and 8,407.82 is: 12,618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,194.69 : 34,810.47 = 8,407.82 : x
  2. Step 2: Convert to fraction form
    23,194.69/34,810.47 = 8,407.82/x
  3. Step 3: Cross multiply
    23,194.69x = 34,810.47 × 8,407.82
  4. Step 4: Simplify right side
    23,194.69x = 292,680,252.90
  5. Step 5: Solve for x
    x = 292,680,252.90/23,194.69
  6. Step 6: Final answer
    x = 12,618.42

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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.