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Finding the Fourth Proportional to 20,230.26, 30,332.31 and 9,700.03

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Solution

The fourth proportional to 20,230.26, 30,332.31 and 9,700.03 is: 14,543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,230.26 : 30,332.31 = 9,700.03 : x
  2. Step 2: Convert to fraction form
    20,230.26/30,332.31 = 9,700.03/x
  3. Step 3: Cross multiply
    20,230.26x = 30,332.31 × 9,700.03
  4. Step 4: Simplify right side
    20,230.26x = 294,224,316.97
  5. Step 5: Solve for x
    x = 294,224,316.97/20,230.26
  6. Step 6: Final answer
    x = 14,543.77

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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.