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Finding the Fourth Proportional to 15,944, 23,919.84 and 5,000

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Solution

The fourth proportional to 15,944, 23,919.84 and 5,000 is: 7,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,944 : 23,919.84 = 5,000 : x
  2. Step 2: Convert to fraction form
    15,944/23,919.84 = 5,000/x
  3. Step 3: Cross multiply
    15,944x = 23,919.84 × 5,000
  4. Step 4: Simplify right side
    15,944x = 119,599,200
  5. Step 5: Solve for x
    x = 119,599,200/15,944
  6. Step 6: Final answer
    x = 7,501.20

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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.