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Finding the Fourth Proportional to 14,630.26, 21,902.31 and 9,065.72

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Solution

The fourth proportional to 14,630.26, 21,902.31 and 9,065.72 is: 13,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,630.26 : 21,902.31 = 9,065.72 : x
  2. Step 2: Convert to fraction form
    14,630.26/21,902.31 = 9,065.72/x
  3. Step 3: Cross multiply
    14,630.26x = 21,902.31 × 9,065.72
  4. Step 4: Simplify right side
    14,630.26x = 198,560,209.81
  5. Step 5: Solve for x
    x = 198,560,209.81/14,630.26
  6. Step 6: Final answer
    x = 13,571.89

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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.