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Finding the Fourth Proportional to 14,811.47, 20,439.77 and 8,097.09

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Solution

The fourth proportional to 14,811.47, 20,439.77 and 8,097.09 is: 11,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,811.47 : 20,439.77 = 8,097.09 : x
  2. Step 2: Convert to fraction form
    14,811.47/20,439.77 = 8,097.09/x
  3. Step 3: Cross multiply
    14,811.47x = 20,439.77 × 8,097.09
  4. Step 4: Simplify right side
    14,811.47x = 165,502,616.78
  5. Step 5: Solve for x
    x = 165,502,616.78/14,811.47
  6. Step 6: Final answer
    x = 11,173.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.