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Finding the Fourth Proportional to 23,724.16, 35,585.88 and 7,084.24

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Solution

The fourth proportional to 23,724.16, 35,585.88 and 7,084.24 is: 10,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,724.16 : 35,585.88 = 7,084.24 : x
  2. Step 2: Convert to fraction form
    23,724.16/35,585.88 = 7,084.24/x
  3. Step 3: Cross multiply
    23,724.16x = 35,585.88 × 7,084.24
  4. Step 4: Simplify right side
    23,724.16x = 252,098,914.53
  5. Step 5: Solve for x
    x = 252,098,914.53/23,724.16
  6. Step 6: Final answer
    x = 10,626.25

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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.