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Finding the Fourth Proportional to 13,774.28, 20,661.81 and 3,386

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Solution

The fourth proportional to 13,774.28, 20,661.81 and 3,386 is: 5,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.28 : 20,661.81 = 3,386 : x
  2. Step 2: Convert to fraction form
    13,774.28/20,661.81 = 3,386/x
  3. Step 3: Cross multiply
    13,774.28x = 20,661.81 × 3,386
  4. Step 4: Simplify right side
    13,774.28x = 69,960,888.66
  5. Step 5: Solve for x
    x = 69,960,888.66/13,774.28
  6. Step 6: Final answer
    x = 5,079.10

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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.