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Finding the Fourth Proportional to 19,778.13, 27,294.48 and 11,281.50

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Solution

The fourth proportional to 19,778.13, 27,294.48 and 11,281.50 is: 15,568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.13 : 27,294.48 = 11,281.50 : x
  2. Step 2: Convert to fraction form
    19,778.13/27,294.48 = 11,281.50/x
  3. Step 3: Cross multiply
    19,778.13x = 27,294.48 × 11,281.50
  4. Step 4: Simplify right side
    19,778.13x = 307,922,676.12
  5. Step 5: Solve for x
    x = 307,922,676.12/19,778.13
  6. Step 6: Final answer
    x = 15,568.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.