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Finding the Fourth Proportional to 16,533, 24,799.64 and 6,144.75

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Solution

The fourth proportional to 16,533, 24,799.64 and 6,144.75 is: 9,217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533 : 24,799.64 = 6,144.75 : x
  2. Step 2: Convert to fraction form
    16,533/24,799.64 = 6,144.75/x
  3. Step 3: Cross multiply
    16,533x = 24,799.64 × 6,144.75
  4. Step 4: Simplify right side
    16,533x = 152,387,557.17
  5. Step 5: Solve for x
    x = 152,387,557.17/16,533
  6. Step 6: Final answer
    x = 9,217.18

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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.