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Finding the Fourth Proportional to 20,614.99, 30,897.15 and 9,506.26

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Solution

The fourth proportional to 20,614.99, 30,897.15 and 9,506.26 is: 14,247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,614.99 : 30,897.15 = 9,506.26 : x
  2. Step 2: Convert to fraction form
    20,614.99/30,897.15 = 9,506.26/x
  3. Step 3: Cross multiply
    20,614.99x = 30,897.15 × 9,506.26
  4. Step 4: Simplify right side
    20,614.99x = 293,716,341.16
  5. Step 5: Solve for x
    x = 293,716,341.16/20,614.99
  6. Step 6: Final answer
    x = 14,247.71

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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.