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Finding the Fourth Proportional to 24,508.51, 36,768.30 and 8,926

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Solution

The fourth proportional to 24,508.51, 36,768.30 and 8,926 is: 13,391.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,508.51 : 36,768.30 = 8,926 : x
  2. Step 2: Convert to fraction form
    24,508.51/36,768.30 = 8,926/x
  3. Step 3: Cross multiply
    24,508.51x = 36,768.30 × 8,926
  4. Step 4: Simplify right side
    24,508.51x = 328,193,845.80
  5. Step 5: Solve for x
    x = 328,193,845.80/24,508.51
  6. Step 6: Final answer
    x = 13,391.02

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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.