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Finding the Fourth Proportional to 24,494.60, 36,741.90 and 12,811.40

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Solution

The fourth proportional to 24,494.60, 36,741.90 and 12,811.40 is: 19,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.60 : 36,741.90 = 12,811.40 : x
  2. Step 2: Convert to fraction form
    24,494.60/36,741.90 = 12,811.40/x
  3. Step 3: Cross multiply
    24,494.60x = 36,741.90 × 12,811.40
  4. Step 4: Simplify right side
    24,494.60x = 470,715,177.66
  5. Step 5: Solve for x
    x = 470,715,177.66/24,494.60
  6. Step 6: Final answer
    x = 19,217.10

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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.