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Finding the Fourth Proportional to 16,275.78, 22,456.53 and 9,202.05

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Solution

The fourth proportional to 16,275.78, 22,456.53 and 9,202.05 is: 12,696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.78 : 22,456.53 = 9,202.05 : x
  2. Step 2: Convert to fraction form
    16,275.78/22,456.53 = 9,202.05/x
  3. Step 3: Cross multiply
    16,275.78x = 22,456.53 × 9,202.05
  4. Step 4: Simplify right side
    16,275.78x = 206,646,111.89
  5. Step 5: Solve for x
    x = 206,646,111.89/16,275.78
  6. Step 6: Final answer
    x = 12,696.54

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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.