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Finding the Fourth Proportional to 20,430.23, 30,616.99 and 9,309.74

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Solution

The fourth proportional to 20,430.23, 30,616.99 and 9,309.74 is: 13,951.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,430.23 : 30,616.99 = 9,309.74 : x
  2. Step 2: Convert to fraction form
    20,430.23/30,616.99 = 9,309.74/x
  3. Step 3: Cross multiply
    20,430.23x = 30,616.99 × 9,309.74
  4. Step 4: Simplify right side
    20,430.23x = 285,036,216.48
  5. Step 5: Solve for x
    x = 285,036,216.48/20,430.23
  6. Step 6: Final answer
    x = 13,951.69

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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.