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Finding the Fourth Proportional to 20,092.96, 30,095.60 and 12,278.08

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Solution

The fourth proportional to 20,092.96, 30,095.60 and 12,278.08 is: 18,390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,092.96 : 30,095.60 = 12,278.08 : x
  2. Step 2: Convert to fraction form
    20,092.96/30,095.60 = 12,278.08/x
  3. Step 3: Cross multiply
    20,092.96x = 30,095.60 × 12,278.08
  4. Step 4: Simplify right side
    20,092.96x = 369,516,184.45
  5. Step 5: Solve for x
    x = 369,516,184.45/20,092.96
  6. Step 6: Final answer
    x = 18,390.33

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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.