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Finding the Fourth Proportional to 27,421.19, 41,132 and 6,644.69

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Solution

The fourth proportional to 27,421.19, 41,132 and 6,644.69 is: 9,967.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,421.19 : 41,132 = 6,644.69 : x
  2. Step 2: Convert to fraction form
    27,421.19/41,132 = 6,644.69/x
  3. Step 3: Cross multiply
    27,421.19x = 41,132 × 6,644.69
  4. Step 4: Simplify right side
    27,421.19x = 273,309,389.08
  5. Step 5: Solve for x
    x = 273,309,389.08/27,421.19
  6. Step 6: Final answer
    x = 9,967.09

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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.