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Finding the Fourth Proportional to 20,585.91, 30,891.63 and 9,494.19

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Solution

The fourth proportional to 20,585.91, 30,891.63 and 9,494.19 is: 14,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585.91 : 30,891.63 = 9,494.19 : x
  2. Step 2: Convert to fraction form
    20,585.91/30,891.63 = 9,494.19/x
  3. Step 3: Cross multiply
    20,585.91x = 30,891.63 × 9,494.19
  4. Step 4: Simplify right side
    20,585.91x = 293,291,004.63
  5. Step 5: Solve for x
    x = 293,291,004.63/20,585.91
  6. Step 6: Final answer
    x = 14,247.17

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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.