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Finding the Fourth Proportional to 13,678.62, 20,509.74 and 5,348.72

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Solution

The fourth proportional to 13,678.62, 20,509.74 and 5,348.72 is: 8,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.62 : 20,509.74 = 5,348.72 : x
  2. Step 2: Convert to fraction form
    13,678.62/20,509.74 = 5,348.72/x
  3. Step 3: Cross multiply
    13,678.62x = 20,509.74 × 5,348.72
  4. Step 4: Simplify right side
    13,678.62x = 109,700,856.53
  5. Step 5: Solve for x
    x = 109,700,856.53/13,678.62
  6. Step 6: Final answer
    x = 8,019.88

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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.