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Finding the Fourth Proportional to 16,643.20, 24,961.20 and 7,283.20

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Solution

The fourth proportional to 16,643.20, 24,961.20 and 7,283.20 is: 10,923.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.20 : 24,961.20 = 7,283.20 : x
  2. Step 2: Convert to fraction form
    16,643.20/24,961.20 = 7,283.20/x
  3. Step 3: Cross multiply
    16,643.20x = 24,961.20 × 7,283.20
  4. Step 4: Simplify right side
    16,643.20x = 181,797,411.84
  5. Step 5: Solve for x
    x = 181,797,411.84/16,643.20
  6. Step 6: Final answer
    x = 10,923.22

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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.