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Finding the Fourth Proportional to 24,595.38, 36,870.93 and 9,801

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Solution

The fourth proportional to 24,595.38, 36,870.93 and 9,801 is: 14,692.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,595.38 : 36,870.93 = 9,801 : x
  2. Step 2: Convert to fraction form
    24,595.38/36,870.93 = 9,801/x
  3. Step 3: Cross multiply
    24,595.38x = 36,870.93 × 9,801
  4. Step 4: Simplify right side
    24,595.38x = 361,371,984.93
  5. Step 5: Solve for x
    x = 361,371,984.93/24,595.38
  6. Step 6: Final answer
    x = 14,692.68

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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.