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Finding the Fourth Proportional to 24,780, 34,196.40 and 13,601.76

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Solution

The fourth proportional to 24,780, 34,196.40 and 13,601.76 is: 18,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,780 : 34,196.40 = 13,601.76 : x
  2. Step 2: Convert to fraction form
    24,780/34,196.40 = 13,601.76/x
  3. Step 3: Cross multiply
    24,780x = 34,196.40 × 13,601.76
  4. Step 4: Simplify right side
    24,780x = 465,131,225.66
  5. Step 5: Solve for x
    x = 465,131,225.66/24,780
  6. Step 6: Final answer
    x = 18,770.43

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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.