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Finding the Fourth Proportional to 22,945.51, 31,662.96 and 12,872.56

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Solution

The fourth proportional to 22,945.51, 31,662.96 and 12,872.56 is: 17,763.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,945.51 : 31,662.96 = 12,872.56 : x
  2. Step 2: Convert to fraction form
    22,945.51/31,662.96 = 12,872.56/x
  3. Step 3: Cross multiply
    22,945.51x = 31,662.96 × 12,872.56
  4. Step 4: Simplify right side
    22,945.51x = 407,583,352.38
  5. Step 5: Solve for x
    x = 407,583,352.38/22,945.51
  6. Step 6: Final answer
    x = 17,763.10

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Why These Related Problems?

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