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Finding the Fourth Proportional to 16,292, 24,438 and 5,903.75

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Solution

The fourth proportional to 16,292, 24,438 and 5,903.75 is: 8,855.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,292 : 24,438 = 5,903.75 : x
  2. Step 2: Convert to fraction form
    16,292/24,438 = 5,903.75/x
  3. Step 3: Cross multiply
    16,292x = 24,438 × 5,903.75
  4. Step 4: Simplify right side
    16,292x = 144,275,842.50
  5. Step 5: Solve for x
    x = 144,275,842.50/16,292
  6. Step 6: Final answer
    x = 8,855.63

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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.