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Finding the Fourth Proportional to 27,683.10, 41,504.54 and 11,038.14

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Solution

The fourth proportional to 27,683.10, 41,504.54 and 11,038.14 is: 16,549.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683.10 : 41,504.54 = 11,038.14 : x
  2. Step 2: Convert to fraction form
    27,683.10/41,504.54 = 11,038.14/x
  3. Step 3: Cross multiply
    27,683.10x = 41,504.54 × 11,038.14
  4. Step 4: Simplify right side
    27,683.10x = 458,132,867.96
  5. Step 5: Solve for x
    x = 458,132,867.96/27,683.10
  6. Step 6: Final answer
    x = 16,549.19

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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.