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Finding the Fourth Proportional to 12,447.87, 17,201.53 and 9,816.18

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Solution

The fourth proportional to 12,447.87, 17,201.53 and 9,816.18 is: 13,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.87 : 17,201.53 = 9,816.18 : x
  2. Step 2: Convert to fraction form
    12,447.87/17,201.53 = 9,816.18/x
  3. Step 3: Cross multiply
    12,447.87x = 17,201.53 × 9,816.18
  4. Step 4: Simplify right side
    12,447.87x = 168,853,314.76
  5. Step 5: Solve for x
    x = 168,853,314.76/12,447.87
  6. Step 6: Final answer
    x = 13,564.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.