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Finding the Fourth Proportional to 14,882.50, 22,326.06 and 5,021.02

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Solution

The fourth proportional to 14,882.50, 22,326.06 and 5,021.02 is: 7,532.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.50 : 22,326.06 = 5,021.02 : x
  2. Step 2: Convert to fraction form
    14,882.50/22,326.06 = 5,021.02/x
  3. Step 3: Cross multiply
    14,882.50x = 22,326.06 × 5,021.02
  4. Step 4: Simplify right side
    14,882.50x = 112,099,593.78
  5. Step 5: Solve for x
    x = 112,099,593.78/14,882.50
  6. Step 6: Final answer
    x = 7,532.31

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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.