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Finding the Fourth Proportional to 17,865.21, 26,801.87 and 6,178.53

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Solution

The fourth proportional to 17,865.21, 26,801.87 and 6,178.53 is: 9,269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,865.21 : 26,801.87 = 6,178.53 : x
  2. Step 2: Convert to fraction form
    17,865.21/26,801.87 = 6,178.53/x
  3. Step 3: Cross multiply
    17,865.21x = 26,801.87 × 6,178.53
  4. Step 4: Simplify right side
    17,865.21x = 165,596,126.96
  5. Step 5: Solve for x
    x = 165,596,126.96/17,865.21
  6. Step 6: Final answer
    x = 9,269.20

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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.