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Finding the Fourth Proportional to 13,406.87, 20,019.99 and 10,946.49

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Solution

The fourth proportional to 13,406.87, 20,019.99 and 10,946.49 is: 16,346.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.87 : 20,019.99 = 10,946.49 : x
  2. Step 2: Convert to fraction form
    13,406.87/20,019.99 = 10,946.49/x
  3. Step 3: Cross multiply
    13,406.87x = 20,019.99 × 10,946.49
  4. Step 4: Simplify right side
    13,406.87x = 219,148,620.34
  5. Step 5: Solve for x
    x = 219,148,620.34/13,406.87
  6. Step 6: Final answer
    x = 16,346.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.