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Finding the Fourth Proportional to 20,390.94, 30,573.05 and 9,858.11

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Solution

The fourth proportional to 20,390.94, 30,573.05 and 9,858.11 is: 14,780.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,390.94 : 30,573.05 = 9,858.11 : x
  2. Step 2: Convert to fraction form
    20,390.94/30,573.05 = 9,858.11/x
  3. Step 3: Cross multiply
    20,390.94x = 30,573.05 × 9,858.11
  4. Step 4: Simplify right side
    20,390.94x = 301,392,287.78
  5. Step 5: Solve for x
    x = 301,392,287.78/20,390.94
  6. Step 6: Final answer
    x = 14,780.70

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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.