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Finding the Fourth Proportional to 13,221.78, 19,814.04 and 10,436.19

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Solution

The fourth proportional to 13,221.78, 19,814.04 and 10,436.19 is: 15,639.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221.78 : 19,814.04 = 10,436.19 : x
  2. Step 2: Convert to fraction form
    13,221.78/19,814.04 = 10,436.19/x
  3. Step 3: Cross multiply
    13,221.78x = 19,814.04 × 10,436.19
  4. Step 4: Simplify right side
    13,221.78x = 206,783,086.11
  5. Step 5: Solve for x
    x = 206,783,086.11/13,221.78
  6. Step 6: Final answer
    x = 15,639.58

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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.