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Finding the Fourth Proportional to 22,933.20, 34,366.86 and 9,782.04

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Solution

The fourth proportional to 22,933.20, 34,366.86 and 9,782.04 is: 14,659.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,933.20 : 34,366.86 = 9,782.04 : x
  2. Step 2: Convert to fraction form
    22,933.20/34,366.86 = 9,782.04/x
  3. Step 3: Cross multiply
    22,933.20x = 34,366.86 × 9,782.04
  4. Step 4: Simplify right side
    22,933.20x = 336,177,999.19
  5. Step 5: Solve for x
    x = 336,177,999.19/22,933.20
  6. Step 6: Final answer
    x = 14,659.01

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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.