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Finding the Fourth Proportional to 24,697.68, 34,081.80 and 13,519.68

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Solution

The fourth proportional to 24,697.68, 34,081.80 and 13,519.68 is: 18,656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697.68 : 34,081.80 = 13,519.68 : x
  2. Step 2: Convert to fraction form
    24,697.68/34,081.80 = 13,519.68/x
  3. Step 3: Cross multiply
    24,697.68x = 34,081.80 × 13,519.68
  4. Step 4: Simplify right side
    24,697.68x = 460,775,029.82
  5. Step 5: Solve for x
    x = 460,775,029.82/24,697.68
  6. Step 6: Final answer
    x = 18,656.61

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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.