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Finding the Fourth Proportional to 14,552.97, 21,825.05 and 7,162.73

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Solution

The fourth proportional to 14,552.97, 21,825.05 and 7,162.73 is: 10,741.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,552.97 : 21,825.05 = 7,162.73 : x
  2. Step 2: Convert to fraction form
    14,552.97/21,825.05 = 7,162.73/x
  3. Step 3: Cross multiply
    14,552.97x = 21,825.05 × 7,162.73
  4. Step 4: Simplify right side
    14,552.97x = 156,326,877.29
  5. Step 5: Solve for x
    x = 156,326,877.29/14,552.97
  6. Step 6: Final answer
    x = 10,741.93

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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.