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Finding the Fourth Proportional to 13,814.68, 20,710.74 and 6,423.76

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Solution

The fourth proportional to 13,814.68, 20,710.74 and 6,423.76 is: 9,630.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.68 : 20,710.74 = 6,423.76 : x
  2. Step 2: Convert to fraction form
    13,814.68/20,710.74 = 6,423.76/x
  3. Step 3: Cross multiply
    13,814.68x = 20,710.74 × 6,423.76
  4. Step 4: Simplify right side
    13,814.68x = 133,040,823.18
  5. Step 5: Solve for x
    x = 133,040,823.18/13,814.68
  6. Step 6: Final answer
    x = 9,630.39

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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.