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Finding the Fourth Proportional to 20,841.95, 28,761.87 and 11,410.50

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Solution

The fourth proportional to 20,841.95, 28,761.87 and 11,410.50 is: 15,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,841.95 : 28,761.87 = 11,410.50 : x
  2. Step 2: Convert to fraction form
    20,841.95/28,761.87 = 11,410.50/x
  3. Step 3: Cross multiply
    20,841.95x = 28,761.87 × 11,410.50
  4. Step 4: Simplify right side
    20,841.95x = 328,187,317.64
  5. Step 5: Solve for x
    x = 328,187,317.64/20,841.95
  6. Step 6: Final answer
    x = 15,746.48

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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.