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Finding the Fourth Proportional to 15,972, 23,954.68 and 15,181.71

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Solution

The fourth proportional to 15,972, 23,954.68 and 15,181.71 is: 22,769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,972 : 23,954.68 = 15,181.71 : x
  2. Step 2: Convert to fraction form
    15,972/23,954.68 = 15,181.71/x
  3. Step 3: Cross multiply
    15,972x = 23,954.68 × 15,181.71
  4. Step 4: Simplify right side
    15,972x = 363,673,004.90
  5. Step 5: Solve for x
    x = 363,673,004.90/15,972
  6. Step 6: Final answer
    x = 22,769.41

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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.