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Finding the Fourth Proportional to 23,812.98, 35,715.94 and 6,284.04

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Solution

The fourth proportional to 23,812.98, 35,715.94 and 6,284.04 is: 9,425.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.98 : 35,715.94 = 6,284.04 : x
  2. Step 2: Convert to fraction form
    23,812.98/35,715.94 = 6,284.04/x
  3. Step 3: Cross multiply
    23,812.98x = 35,715.94 × 6,284.04
  4. Step 4: Simplify right side
    23,812.98x = 224,440,395.60
  5. Step 5: Solve for x
    x = 224,440,395.60/23,812.98
  6. Step 6: Final answer
    x = 9,425.13

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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.