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Finding the Fourth Proportional to 14,896.25, 22,344.35 and 3,802.94

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Solution

The fourth proportional to 14,896.25, 22,344.35 and 3,802.94 is: 5,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.25 : 22,344.35 = 3,802.94 : x
  2. Step 2: Convert to fraction form
    14,896.25/22,344.35 = 3,802.94/x
  3. Step 3: Cross multiply
    14,896.25x = 22,344.35 × 3,802.94
  4. Step 4: Simplify right side
    14,896.25x = 84,974,091.65
  5. Step 5: Solve for x
    x = 84,974,091.65/14,896.25
  6. Step 6: Final answer
    x = 5,704.40

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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.