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Finding the Fourth Proportional to 20,405.82, 28,159.95 and 11,453.40

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Solution

The fourth proportional to 20,405.82, 28,159.95 and 11,453.40 is: 15,805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,405.82 : 28,159.95 = 11,453.40 : x
  2. Step 2: Convert to fraction form
    20,405.82/28,159.95 = 11,453.40/x
  3. Step 3: Cross multiply
    20,405.82x = 28,159.95 × 11,453.40
  4. Step 4: Simplify right side
    20,405.82x = 322,527,214.28
  5. Step 5: Solve for x
    x = 322,527,214.28/20,405.82
  6. Step 6: Final answer
    x = 15,805.65

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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.