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Finding the Fourth Proportional to 22,278.65, 30,743.01 and 13,083.23

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Solution

The fourth proportional to 22,278.65, 30,743.01 and 13,083.23 is: 18,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,278.65 : 30,743.01 = 13,083.23 : x
  2. Step 2: Convert to fraction form
    22,278.65/30,743.01 = 13,083.23/x
  3. Step 3: Cross multiply
    22,278.65x = 30,743.01 × 13,083.23
  4. Step 4: Simplify right side
    22,278.65x = 402,217,717.01
  5. Step 5: Solve for x
    x = 402,217,717.01/22,278.65
  6. Step 6: Final answer
    x = 18,053.96

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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.