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Finding the Fourth Proportional to 20,283.80, 30,411.11 and 9,184.77

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Solution

The fourth proportional to 20,283.80, 30,411.11 and 9,184.77 is: 13,770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,283.80 : 30,411.11 = 9,184.77 : x
  2. Step 2: Convert to fraction form
    20,283.80/30,411.11 = 9,184.77/x
  3. Step 3: Cross multiply
    20,283.80x = 30,411.11 × 9,184.77
  4. Step 4: Simplify right side
    20,283.80x = 279,319,050.79
  5. Step 5: Solve for x
    x = 279,319,050.79/20,283.80
  6. Step 6: Final answer
    x = 13,770.55

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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.