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Finding the Fourth Proportional to 12,148.31, 18,193.74 and 9,497.25

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Solution

The fourth proportional to 12,148.31, 18,193.74 and 9,497.25 is: 14,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.31 : 18,193.74 = 9,497.25 : x
  2. Step 2: Convert to fraction form
    12,148.31/18,193.74 = 9,497.25/x
  3. Step 3: Cross multiply
    12,148.31x = 18,193.74 × 9,497.25
  4. Step 4: Simplify right side
    12,148.31x = 172,790,497.22
  5. Step 5: Solve for x
    x = 172,790,497.22/12,148.31
  6. Step 6: Final answer
    x = 14,223.42

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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.