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Finding the Fourth Proportional to 14,302.16, 19,732.22 and 9,272.97

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Solution

The fourth proportional to 14,302.16, 19,732.22 and 9,272.97 is: 12,793.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.16 : 19,732.22 = 9,272.97 : x
  2. Step 2: Convert to fraction form
    14,302.16/19,732.22 = 9,272.97/x
  3. Step 3: Cross multiply
    14,302.16x = 19,732.22 × 9,272.97
  4. Step 4: Simplify right side
    14,302.16x = 182,976,284.09
  5. Step 5: Solve for x
    x = 182,976,284.09/14,302.16
  6. Step 6: Final answer
    x = 12,793.61

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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.