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Finding the Fourth Proportional to 20,414.95, 30,595.53 and 19,083.16

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Solution

The fourth proportional to 20,414.95, 30,595.53 and 19,083.16 is: 28,599.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414.95 : 30,595.53 = 19,083.16 : x
  2. Step 2: Convert to fraction form
    20,414.95/30,595.53 = 19,083.16/x
  3. Step 3: Cross multiply
    20,414.95x = 30,595.53 × 19,083.16
  4. Step 4: Simplify right side
    20,414.95x = 583,859,504.08
  5. Step 5: Solve for x
    x = 583,859,504.08/20,414.95
  6. Step 6: Final answer
    x = 28,599.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.