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Finding the Fourth Proportional to 27,812.31, 41,689.31 and 13,008.75

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Solution

The fourth proportional to 27,812.31, 41,689.31 and 13,008.75 is: 19,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,812.31 : 41,689.31 = 13,008.75 : x
  2. Step 2: Convert to fraction form
    27,812.31/41,689.31 = 13,008.75/x
  3. Step 3: Cross multiply
    27,812.31x = 41,689.31 × 13,008.75
  4. Step 4: Simplify right side
    27,812.31x = 542,325,746.42
  5. Step 5: Solve for x
    x = 542,325,746.42/27,812.31
  6. Step 6: Final answer
    x = 19,499.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.