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Finding the Fourth Proportional to 24,747.78, 37,146.38 and 13,659.69

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Solution

The fourth proportional to 24,747.78, 37,146.38 and 13,659.69 is: 20,503.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,747.78 : 37,146.38 = 13,659.69 : x
  2. Step 2: Convert to fraction form
    24,747.78/37,146.38 = 13,659.69/x
  3. Step 3: Cross multiply
    24,747.78x = 37,146.38 × 13,659.69
  4. Step 4: Simplify right side
    24,747.78x = 507,408,035.42
  5. Step 5: Solve for x
    x = 507,408,035.42/24,747.78
  6. Step 6: Final answer
    x = 20,503.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.