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Finding the Fourth Proportional to 24,649.76, 36,968 and 11,489.28

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Solution

The fourth proportional to 24,649.76, 36,968 and 11,489.28 is: 17,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,649.76 : 36,968 = 11,489.28 : x
  2. Step 2: Convert to fraction form
    24,649.76/36,968 = 11,489.28/x
  3. Step 3: Cross multiply
    24,649.76x = 36,968 × 11,489.28
  4. Step 4: Simplify right side
    24,649.76x = 424,735,703.04
  5. Step 5: Solve for x
    x = 424,735,703.04/24,649.76
  6. Step 6: Final answer
    x = 17,230.83

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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.