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Finding the Fourth Proportional to 20,282.07, 27,989 and 11,329.95

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Solution

The fourth proportional to 20,282.07, 27,989 and 11,329.95 is: 15,635.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,282.07 : 27,989 = 11,329.95 : x
  2. Step 2: Convert to fraction form
    20,282.07/27,989 = 11,329.95/x
  3. Step 3: Cross multiply
    20,282.07x = 27,989 × 11,329.95
  4. Step 4: Simplify right side
    20,282.07x = 317,113,970.55
  5. Step 5: Solve for x
    x = 317,113,970.55/20,282.07
  6. Step 6: Final answer
    x = 15,635.19

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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.