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Finding the Fourth Proportional to 14,282.88, 21,424.20 and 3,894.64

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Solution

The fourth proportional to 14,282.88, 21,424.20 and 3,894.64 is: 5,841.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.88 : 21,424.20 = 3,894.64 : x
  2. Step 2: Convert to fraction form
    14,282.88/21,424.20 = 3,894.64/x
  3. Step 3: Cross multiply
    14,282.88x = 21,424.20 × 3,894.64
  4. Step 4: Simplify right side
    14,282.88x = 83,439,546.29
  5. Step 5: Solve for x
    x = 83,439,546.29/14,282.88
  6. Step 6: Final answer
    x = 5,841.93

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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.