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Finding the Fourth Proportional to 16,537.38, 24,808.50 and 4,849.08

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Solution

The fourth proportional to 16,537.38, 24,808.50 and 4,849.08 is: 7,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.38 : 24,808.50 = 4,849.08 : x
  2. Step 2: Convert to fraction form
    16,537.38/24,808.50 = 4,849.08/x
  3. Step 3: Cross multiply
    16,537.38x = 24,808.50 × 4,849.08
  4. Step 4: Simplify right side
    16,537.38x = 120,298,401.18
  5. Step 5: Solve for x
    x = 120,298,401.18/16,537.38
  6. Step 6: Final answer
    x = 7,274.33

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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.