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Finding the Fourth Proportional to 20,594.07, 30,867.24 and 9,477.42

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Solution

The fourth proportional to 20,594.07, 30,867.24 and 9,477.42 is: 14,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594.07 : 30,867.24 = 9,477.42 : x
  2. Step 2: Convert to fraction form
    20,594.07/30,867.24 = 9,477.42/x
  3. Step 3: Cross multiply
    20,594.07x = 30,867.24 × 9,477.42
  4. Step 4: Simplify right side
    20,594.07x = 292,541,797.72
  5. Step 5: Solve for x
    x = 292,541,797.72/20,594.07
  6. Step 6: Final answer
    x = 14,205.15

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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.