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Finding the Fourth Proportional to 24,645, 34,010.12 and 13,467

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Solution

The fourth proportional to 24,645, 34,010.12 and 13,467 is: 18,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,645 : 34,010.12 = 13,467 : x
  2. Step 2: Convert to fraction form
    24,645/34,010.12 = 13,467/x
  3. Step 3: Cross multiply
    24,645x = 34,010.12 × 13,467
  4. Step 4: Simplify right side
    24,645x = 458,014,286.04
  5. Step 5: Solve for x
    x = 458,014,286.04/24,645
  6. Step 6: Final answer
    x = 18,584.47

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1.5x scale

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.