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Finding the Fourth Proportional to 23,363.81, 32,242.79 and 13,293.71

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Solution

The fourth proportional to 23,363.81, 32,242.79 and 13,293.71 is: 18,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,363.81 : 32,242.79 = 13,293.71 : x
  2. Step 2: Convert to fraction form
    23,363.81/32,242.79 = 13,293.71/x
  3. Step 3: Cross multiply
    23,363.81x = 32,242.79 × 13,293.71
  4. Step 4: Simplify right side
    23,363.81x = 428,626,233.38
  5. Step 5: Solve for x
    x = 428,626,233.38/23,363.81
  6. Step 6: Final answer
    x = 18,345.73

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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.