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Finding the Fourth Proportional to 27,423.18, 41,134.78 and 6,646.68

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Solution

The fourth proportional to 27,423.18, 41,134.78 and 6,646.68 is: 9,970.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,423.18 : 41,134.78 = 6,646.68 : x
  2. Step 2: Convert to fraction form
    27,423.18/41,134.78 = 6,646.68/x
  3. Step 3: Cross multiply
    27,423.18x = 41,134.78 × 6,646.68
  4. Step 4: Simplify right side
    27,423.18x = 273,409,878.72
  5. Step 5: Solve for x
    x = 273,409,878.72/27,423.18
  6. Step 6: Final answer
    x = 9,970.03

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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.