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Finding the Fourth Proportional to 20,405.42, 30,607.74 and 8,394.93

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Solution

The fourth proportional to 20,405.42, 30,607.74 and 8,394.93 is: 12,592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,405.42 : 30,607.74 = 8,394.93 : x
  2. Step 2: Convert to fraction form
    20,405.42/30,607.74 = 8,394.93/x
  3. Step 3: Cross multiply
    20,405.42x = 30,607.74 × 8,394.93
  4. Step 4: Simplify right side
    20,405.42x = 256,949,834.76
  5. Step 5: Solve for x
    x = 256,949,834.76/20,405.42
  6. Step 6: Final answer
    x = 12,592.24

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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.