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Finding the Fourth Proportional to 15,856.72, 23,785.31 and 7,537.59

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Solution

The fourth proportional to 15,856.72, 23,785.31 and 7,537.59 is: 11,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.72 : 23,785.31 = 7,537.59 : x
  2. Step 2: Convert to fraction form
    15,856.72/23,785.31 = 7,537.59/x
  3. Step 3: Cross multiply
    15,856.72x = 23,785.31 × 7,537.59
  4. Step 4: Simplify right side
    15,856.72x = 179,283,914.80
  5. Step 5: Solve for x
    x = 179,283,914.80/15,856.72
  6. Step 6: Final answer
    x = 11,306.49

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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.