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Finding the Fourth Proportional to 20,139.72, 27,792.24 and 11,187

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Solution

The fourth proportional to 20,139.72, 27,792.24 and 11,187 is: 15,437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,139.72 : 27,792.24 = 11,187 : x
  2. Step 2: Convert to fraction form
    20,139.72/27,792.24 = 11,187/x
  3. Step 3: Cross multiply
    20,139.72x = 27,792.24 × 11,187
  4. Step 4: Simplify right side
    20,139.72x = 310,911,788.88
  5. Step 5: Solve for x
    x = 310,911,788.88/20,139.72
  6. Step 6: Final answer
    x = 15,437.74

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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.