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Finding the Fourth Proportional to 13,605.68, 20,366.12 and 10,477.56

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Solution

The fourth proportional to 13,605.68, 20,366.12 and 10,477.56 is: 15,683.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.68 : 20,366.12 = 10,477.56 : x
  2. Step 2: Convert to fraction form
    13,605.68/20,366.12 = 10,477.56/x
  3. Step 3: Cross multiply
    13,605.68x = 20,366.12 × 10,477.56
  4. Step 4: Simplify right side
    13,605.68x = 213,387,244.27
  5. Step 5: Solve for x
    x = 213,387,244.27/13,605.68
  6. Step 6: Final answer
    x = 15,683.69

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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.