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Finding the Fourth Proportional to 15,695, 23,537.52 and 5,162.60

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Solution

The fourth proportional to 15,695, 23,537.52 and 5,162.60 is: 7,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,695 : 23,537.52 = 5,162.60 : x
  2. Step 2: Convert to fraction form
    15,695/23,537.52 = 5,162.60/x
  3. Step 3: Cross multiply
    15,695x = 23,537.52 × 5,162.60
  4. Step 4: Simplify right side
    15,695x = 121,514,800.75
  5. Step 5: Solve for x
    x = 121,514,800.75/15,695
  6. Step 6: Final answer
    x = 7,742.26

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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.