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Finding the Fourth Proportional to 13,780.28, 20,670.81 and 3,392

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Solution

The fourth proportional to 13,780.28, 20,670.81 and 3,392 is: 5,088.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.28 : 20,670.81 = 3,392 : x
  2. Step 2: Convert to fraction form
    13,780.28/20,670.81 = 3,392/x
  3. Step 3: Cross multiply
    13,780.28x = 20,670.81 × 3,392
  4. Step 4: Simplify right side
    13,780.28x = 70,115,387.52
  5. Step 5: Solve for x
    x = 70,115,387.52/13,780.28
  6. Step 6: Final answer
    x = 5,088.10

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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.