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Finding the Fourth Proportional to 20,891.30, 31,349.71 and 9,048.24

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Solution

The fourth proportional to 20,891.30, 31,349.71 and 9,048.24 is: 13,577.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,891.30 : 31,349.71 = 9,048.24 : x
  2. Step 2: Convert to fraction form
    20,891.30/31,349.71 = 9,048.24/x
  3. Step 3: Cross multiply
    20,891.30x = 31,349.71 × 9,048.24
  4. Step 4: Simplify right side
    20,891.30x = 283,659,700.01
  5. Step 5: Solve for x
    x = 283,659,700.01/20,891.30
  6. Step 6: Final answer
    x = 13,577.89

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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.