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Finding the Fourth Proportional to 14,474.70, 21,748.50 and 9,212.13

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Solution

The fourth proportional to 14,474.70, 21,748.50 and 9,212.13 is: 13,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474.70 : 21,748.50 = 9,212.13 : x
  2. Step 2: Convert to fraction form
    14,474.70/21,748.50 = 9,212.13/x
  3. Step 3: Cross multiply
    14,474.70x = 21,748.50 × 9,212.13
  4. Step 4: Simplify right side
    14,474.70x = 200,350,009.31
  5. Step 5: Solve for x
    x = 200,350,009.31/14,474.70
  6. Step 6: Final answer
    x = 13,841.39

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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.