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Finding the Fourth Proportional to 15,946, 23,922.84 and 5,002

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Solution

The fourth proportional to 15,946, 23,922.84 and 5,002 is: 7,504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,946 : 23,922.84 = 5,002 : x
  2. Step 2: Convert to fraction form
    15,946/23,922.84 = 5,002/x
  3. Step 3: Cross multiply
    15,946x = 23,922.84 × 5,002
  4. Step 4: Simplify right side
    15,946x = 119,662,045.68
  5. Step 5: Solve for x
    x = 119,662,045.68/15,946
  6. Step 6: Final answer
    x = 7,504.20

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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.