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Finding the Fourth Proportional to 21,537, 32,306.28 and 6,745.56

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Solution

The fourth proportional to 21,537, 32,306.28 and 6,745.56 is: 10,118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,537 : 32,306.28 = 6,745.56 : x
  2. Step 2: Convert to fraction form
    21,537/32,306.28 = 6,745.56/x
  3. Step 3: Cross multiply
    21,537x = 32,306.28 × 6,745.56
  4. Step 4: Simplify right side
    21,537x = 217,923,950.12
  5. Step 5: Solve for x
    x = 217,923,950.12/21,537
  6. Step 6: Final answer
    x = 10,118.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.