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Finding the Fourth Proportional to 15,689.26, 23,537.97 and 5,831.38

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Solution

The fourth proportional to 15,689.26, 23,537.97 and 5,831.38 is: 8,748.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.26 : 23,537.97 = 5,831.38 : x
  2. Step 2: Convert to fraction form
    15,689.26/23,537.97 = 5,831.38/x
  3. Step 3: Cross multiply
    15,689.26x = 23,537.97 × 5,831.38
  4. Step 4: Simplify right side
    15,689.26x = 137,258,847.50
  5. Step 5: Solve for x
    x = 137,258,847.50/15,689.26
  6. Step 6: Final answer
    x = 8,748.59

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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.