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Finding the Fourth Proportional to 14,116.68, 19,489.94 and 9,083.24

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Solution

The fourth proportional to 14,116.68, 19,489.94 and 9,083.24 is: 12,540.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.68 : 19,489.94 = 9,083.24 : x
  2. Step 2: Convert to fraction form
    14,116.68/19,489.94 = 9,083.24/x
  3. Step 3: Cross multiply
    14,116.68x = 19,489.94 × 9,083.24
  4. Step 4: Simplify right side
    14,116.68x = 177,031,802.61
  5. Step 5: Solve for x
    x = 177,031,802.61/14,116.68
  6. Step 6: Final answer
    x = 12,540.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.