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Finding the Fourth Proportional to 15,947, 23,920.52 and 5,003

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Solution

The fourth proportional to 15,947, 23,920.52 and 5,003 is: 7,504.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,947 : 23,920.52 = 5,003 : x
  2. Step 2: Convert to fraction form
    15,947/23,920.52 = 5,003/x
  3. Step 3: Cross multiply
    15,947x = 23,920.52 × 5,003
  4. Step 4: Simplify right side
    15,947x = 119,674,361.56
  5. Step 5: Solve for x
    x = 119,674,361.56/15,947
  6. Step 6: Final answer
    x = 7,504.51

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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.