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Finding the Fourth Proportional to 22,816.58, 34,224.93 and 6,176.70

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Solution

The fourth proportional to 22,816.58, 34,224.93 and 6,176.70 is: 9,265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816.58 : 34,224.93 = 6,176.70 : x
  2. Step 2: Convert to fraction form
    22,816.58/34,224.93 = 6,176.70/x
  3. Step 3: Cross multiply
    22,816.58x = 34,224.93 × 6,176.70
  4. Step 4: Simplify right side
    22,816.58x = 211,397,125.13
  5. Step 5: Solve for x
    x = 211,397,125.13/22,816.58
  6. Step 6: Final answer
    x = 9,265.07

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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.