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Finding the Fourth Proportional to 12,374.26, 18,573.75 and 6,830.22

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Solution

The fourth proportional to 12,374.26, 18,573.75 and 6,830.22 is: 10,252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.26 : 18,573.75 = 6,830.22 : x
  2. Step 2: Convert to fraction form
    12,374.26/18,573.75 = 6,830.22/x
  3. Step 3: Cross multiply
    12,374.26x = 18,573.75 × 6,830.22
  4. Step 4: Simplify right side
    12,374.26x = 126,862,752.29
  5. Step 5: Solve for x
    x = 126,862,752.29/12,374.26
  6. Step 6: Final answer
    x = 10,252.15

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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.