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Finding the Fourth Proportional to 12,097.60, 18,146.40 and 11,222.80

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Solution

The fourth proportional to 12,097.60, 18,146.40 and 11,222.80 is: 16,834.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.60 : 18,146.40 = 11,222.80 : x
  2. Step 2: Convert to fraction form
    12,097.60/18,146.40 = 11,222.80/x
  3. Step 3: Cross multiply
    12,097.60x = 18,146.40 × 11,222.80
  4. Step 4: Simplify right side
    12,097.60x = 203,653,417.92
  5. Step 5: Solve for x
    x = 203,653,417.92/12,097.60
  6. Step 6: Final answer
    x = 16,834.20

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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.