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Finding the Fourth Proportional to 16,416.68, 24,627.72 and 8,097.08

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Solution

The fourth proportional to 16,416.68, 24,627.72 and 8,097.08 is: 12,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.68 : 24,627.72 = 8,097.08 : x
  2. Step 2: Convert to fraction form
    16,416.68/24,627.72 = 8,097.08/x
  3. Step 3: Cross multiply
    16,416.68x = 24,627.72 × 8,097.08
  4. Step 4: Simplify right side
    16,416.68x = 199,412,619.06
  5. Step 5: Solve for x
    x = 199,412,619.06/16,416.68
  6. Step 6: Final answer
    x = 12,146.95

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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.