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Finding the Fourth Proportional to 14,159.85, 21,238.39 and 4,299.21

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Solution

The fourth proportional to 14,159.85, 21,238.39 and 4,299.21 is: 6,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.85 : 21,238.39 = 4,299.21 : x
  2. Step 2: Convert to fraction form
    14,159.85/21,238.39 = 4,299.21/x
  3. Step 3: Cross multiply
    14,159.85x = 21,238.39 × 4,299.21
  4. Step 4: Simplify right side
    14,159.85x = 91,308,304.05
  5. Step 5: Solve for x
    x = 91,308,304.05/14,159.85
  6. Step 6: Final answer
    x = 6,448.40

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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.