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Finding the Fourth Proportional to 27,702.14, 41,542.95 and 11,057.18

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Solution

The fourth proportional to 27,702.14, 41,542.95 and 11,057.18 is: 16,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702.14 : 41,542.95 = 11,057.18 : x
  2. Step 2: Convert to fraction form
    27,702.14/41,542.95 = 11,057.18/x
  3. Step 3: Cross multiply
    27,702.14x = 41,542.95 × 11,057.18
  4. Step 4: Simplify right side
    27,702.14x = 459,347,875.88
  5. Step 5: Solve for x
    x = 459,347,875.88/27,702.14
  6. Step 6: Final answer
    x = 16,581.67

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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.