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Finding the Fourth Proportional to 15,322.50, 22,983.75 and 4,934.25

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Solution

The fourth proportional to 15,322.50, 22,983.75 and 4,934.25 is: 7,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322.50 : 22,983.75 = 4,934.25 : x
  2. Step 2: Convert to fraction form
    15,322.50/22,983.75 = 4,934.25/x
  3. Step 3: Cross multiply
    15,322.50x = 22,983.75 × 4,934.25
  4. Step 4: Simplify right side
    15,322.50x = 113,407,568.44
  5. Step 5: Solve for x
    x = 113,407,568.44/15,322.50
  6. Step 6: Final answer
    x = 7,401.38

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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.