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Finding the Fourth Proportional to 16,496.48, 24,751.20 and 7,256

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Solution

The fourth proportional to 16,496.48, 24,751.20 and 7,256 is: 10,886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496.48 : 24,751.20 = 7,256 : x
  2. Step 2: Convert to fraction form
    16,496.48/24,751.20 = 7,256/x
  3. Step 3: Cross multiply
    16,496.48x = 24,751.20 × 7,256
  4. Step 4: Simplify right side
    16,496.48x = 179,594,707.20
  5. Step 5: Solve for x
    x = 179,594,707.20/16,496.48
  6. Step 6: Final answer
    x = 10,886.85

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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.