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Finding the Fourth Proportional to 16,229, 24,343.50 and 5,285

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Solution

The fourth proportional to 16,229, 24,343.50 and 5,285 is: 7,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229 : 24,343.50 = 5,285 : x
  2. Step 2: Convert to fraction form
    16,229/24,343.50 = 5,285/x
  3. Step 3: Cross multiply
    16,229x = 24,343.50 × 5,285
  4. Step 4: Simplify right side
    16,229x = 128,655,397.50
  5. Step 5: Solve for x
    x = 128,655,397.50/16,229
  6. Step 6: Final answer
    x = 7,927.50

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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.