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Finding the Fourth Proportional to 23,812.65, 32,859.12 and 13,202.07

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Solution

The fourth proportional to 23,812.65, 32,859.12 and 13,202.07 is: 18,217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.65 : 32,859.12 = 13,202.07 : x
  2. Step 2: Convert to fraction form
    23,812.65/32,859.12 = 13,202.07/x
  3. Step 3: Cross multiply
    23,812.65x = 32,859.12 × 13,202.07
  4. Step 4: Simplify right side
    23,812.65x = 433,808,402.38
  5. Step 5: Solve for x
    x = 433,808,402.38/23,812.65
  6. Step 6: Final answer
    x = 18,217.56

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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.