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Finding the Fourth Proportional to 24,330, 33,572.54 and 13,719

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Solution

The fourth proportional to 24,330, 33,572.54 and 13,719 is: 18,930.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,330 : 33,572.54 = 13,719 : x
  2. Step 2: Convert to fraction form
    24,330/33,572.54 = 13,719/x
  3. Step 3: Cross multiply
    24,330x = 33,572.54 × 13,719
  4. Step 4: Simplify right side
    24,330x = 460,581,676.26
  5. Step 5: Solve for x
    x = 460,581,676.26/24,330
  6. Step 6: Final answer
    x = 18,930.61

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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.