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Finding the Fourth Proportional to 24,290.40, 33,520.08 and 13,679.80

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Solution

The fourth proportional to 24,290.40, 33,520.08 and 13,679.80 is: 18,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,290.40 : 33,520.08 = 13,679.80 : x
  2. Step 2: Convert to fraction form
    24,290.40/33,520.08 = 13,679.80/x
  3. Step 3: Cross multiply
    24,290.40x = 33,520.08 × 13,679.80
  4. Step 4: Simplify right side
    24,290.40x = 458,547,990.38
  5. Step 5: Solve for x
    x = 458,547,990.38/24,290.40
  6. Step 6: Final answer
    x = 18,877.75

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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.