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Finding the Fourth Proportional to 14,282.97, 21,423.84 and 3,894.72

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Solution

The fourth proportional to 14,282.97, 21,423.84 and 3,894.72 is: 5,841.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.97 : 21,423.84 = 3,894.72 : x
  2. Step 2: Convert to fraction form
    14,282.97/21,423.84 = 3,894.72/x
  3. Step 3: Cross multiply
    14,282.97x = 21,423.84 × 3,894.72
  4. Step 4: Simplify right side
    14,282.97x = 83,439,858.12
  5. Step 5: Solve for x
    x = 83,439,858.12/14,282.97
  6. Step 6: Final answer
    x = 5,841.91

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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.