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Finding the Fourth Proportional to 27,785.70, 41,642.10 and 11,132.10

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Solution

The fourth proportional to 27,785.70, 41,642.10 and 11,132.10 is: 16,683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.70 : 41,642.10 = 11,132.10 : x
  2. Step 2: Convert to fraction form
    27,785.70/41,642.10 = 11,132.10/x
  3. Step 3: Cross multiply
    27,785.70x = 41,642.10 × 11,132.10
  4. Step 4: Simplify right side
    27,785.70x = 463,564,021.41
  5. Step 5: Solve for x
    x = 463,564,021.41/27,785.70
  6. Step 6: Final answer
    x = 16,683.55

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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.