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Finding the Fourth Proportional to 14,283.84, 21,414.66 and 5,399.03

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Solution

The fourth proportional to 14,283.84, 21,414.66 and 5,399.03 is: 8,094.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.84 : 21,414.66 = 5,399.03 : x
  2. Step 2: Convert to fraction form
    14,283.84/21,414.66 = 5,399.03/x
  3. Step 3: Cross multiply
    14,283.84x = 21,414.66 × 5,399.03
  4. Step 4: Simplify right side
    14,283.84x = 115,618,284.71
  5. Step 5: Solve for x
    x = 115,618,284.71/14,283.84
  6. Step 6: Final answer
    x = 8,094.34

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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.