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Finding the Fourth Proportional to 15,717.50, 23,570.06 and 5,851.38

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Solution

The fourth proportional to 15,717.50, 23,570.06 and 5,851.38 is: 8,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,717.50 : 23,570.06 = 5,851.38 : x
  2. Step 2: Convert to fraction form
    15,717.50/23,570.06 = 5,851.38/x
  3. Step 3: Cross multiply
    15,717.50x = 23,570.06 × 5,851.38
  4. Step 4: Simplify right side
    15,717.50x = 137,917,377.68
  5. Step 5: Solve for x
    x = 137,917,377.68/15,717.50
  6. Step 6: Final answer
    x = 8,774.77

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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.