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Finding the Fourth Proportional to 14,282.56, 21,423.84 and 3,894.24

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Solution

The fourth proportional to 14,282.56, 21,423.84 and 3,894.24 is: 5,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.56 : 21,423.84 = 3,894.24 : x
  2. Step 2: Convert to fraction form
    14,282.56/21,423.84 = 3,894.24/x
  3. Step 3: Cross multiply
    14,282.56x = 21,423.84 × 3,894.24
  4. Step 4: Simplify right side
    14,282.56x = 83,429,574.68
  5. Step 5: Solve for x
    x = 83,429,574.68/14,282.56
  6. Step 6: Final answer
    x = 5,841.36

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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.