Home / 11,024.92-16,543.50-10,189

Finding the Fourth Proportional to 11,024.92, 16,543.50 and 10,189

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Solution

The fourth proportional to 11,024.92, 16,543.50 and 10,189 is: 15,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,024.92 : 16,543.50 = 10,189 : x
  2. Step 2: Convert to fraction form
    11,024.92/16,543.50 = 10,189/x
  3. Step 3: Cross multiply
    11,024.92x = 16,543.50 × 10,189
  4. Step 4: Simplify right side
    11,024.92x = 168,561,721.50
  5. Step 5: Solve for x
    x = 168,561,721.50/11,024.92
  6. Step 6: Final answer
    x = 15,289.16

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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.