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Finding the Fourth Proportional to 15,963, 23,948.34 and 5,019

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Solution

The fourth proportional to 15,963, 23,948.34 and 5,019 is: 7,529.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,963 : 23,948.34 = 5,019 : x
  2. Step 2: Convert to fraction form
    15,963/23,948.34 = 5,019/x
  3. Step 3: Cross multiply
    15,963x = 23,948.34 × 5,019
  4. Step 4: Simplify right side
    15,963x = 120,196,718.46
  5. Step 5: Solve for x
    x = 120,196,718.46/15,963
  6. Step 6: Final answer
    x = 7,529.71

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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.