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Finding the Fourth Proportional to 13,513.19, 20,277.09 and 5,621.13

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Solution

The fourth proportional to 13,513.19, 20,277.09 and 5,621.13 is: 8,434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513.19 : 20,277.09 = 5,621.13 : x
  2. Step 2: Convert to fraction form
    13,513.19/20,277.09 = 5,621.13/x
  3. Step 3: Cross multiply
    13,513.19x = 20,277.09 × 5,621.13
  4. Step 4: Simplify right side
    13,513.19x = 113,980,158.91
  5. Step 5: Solve for x
    x = 113,980,158.91/13,513.19
  6. Step 6: Final answer
    x = 8,434.74

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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.