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Finding the Fourth Proportional to 24,246.54, 33,457.50 and 13,491

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Solution

The fourth proportional to 24,246.54, 33,457.50 and 13,491 is: 18,616.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,246.54 : 33,457.50 = 13,491 : x
  2. Step 2: Convert to fraction form
    24,246.54/33,457.50 = 13,491/x
  3. Step 3: Cross multiply
    24,246.54x = 33,457.50 × 13,491
  4. Step 4: Simplify right side
    24,246.54x = 451,375,132.50
  5. Step 5: Solve for x
    x = 451,375,132.50/24,246.54
  6. Step 6: Final answer
    x = 18,616.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.