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Finding the Fourth Proportional to 14,318.80, 21,449.36 and 9,106

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Solution

The fourth proportional to 14,318.80, 21,449.36 and 9,106 is: 13,640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,318.80 : 21,449.36 = 9,106 : x
  2. Step 2: Convert to fraction form
    14,318.80/21,449.36 = 9,106/x
  3. Step 3: Cross multiply
    14,318.80x = 21,449.36 × 9,106
  4. Step 4: Simplify right side
    14,318.80x = 195,317,872.16
  5. Step 5: Solve for x
    x = 195,317,872.16/14,318.80
  6. Step 6: Final answer
    x = 13,640.66

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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.