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Finding the Fourth Proportional to 12,097.40, 16,697.46 and 7,383.20

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Solution

The fourth proportional to 12,097.40, 16,697.46 and 7,383.20 is: 10,190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.40 : 16,697.46 = 7,383.20 : x
  2. Step 2: Convert to fraction form
    12,097.40/16,697.46 = 7,383.20/x
  3. Step 3: Cross multiply
    12,097.40x = 16,697.46 × 7,383.20
  4. Step 4: Simplify right side
    12,097.40x = 123,280,686.67
  5. Step 5: Solve for x
    x = 123,280,686.67/12,097.40
  6. Step 6: Final answer
    x = 10,190.68

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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.