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Finding the Fourth Proportional to 12,097.60, 18,146.40 and 7,164.70

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Solution

The fourth proportional to 12,097.60, 18,146.40 and 7,164.70 is: 10,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.60 : 18,146.40 = 7,164.70 : x
  2. Step 2: Convert to fraction form
    12,097.60/18,146.40 = 7,164.70/x
  3. Step 3: Cross multiply
    12,097.60x = 18,146.40 × 7,164.70
  4. Step 4: Simplify right side
    12,097.60x = 130,013,512.08
  5. Step 5: Solve for x
    x = 130,013,512.08/12,097.60
  6. Step 6: Final answer
    x = 10,747.05

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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.