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Finding the Fourth Proportional to 24,198.83, 36,300.54 and 9,408.89

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Solution

The fourth proportional to 24,198.83, 36,300.54 and 9,408.89 is: 14,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,198.83 : 36,300.54 = 9,408.89 : x
  2. Step 2: Convert to fraction form
    24,198.83/36,300.54 = 9,408.89/x
  3. Step 3: Cross multiply
    24,198.83x = 36,300.54 × 9,408.89
  4. Step 4: Simplify right side
    24,198.83x = 341,547,787.80
  5. Step 5: Solve for x
    x = 341,547,787.80/24,198.83
  6. Step 6: Final answer
    x = 14,114.23

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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.