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Finding the Fourth Proportional to 12,097.89, 16,697.34 and 7,618.59

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Solution

The fourth proportional to 12,097.89, 16,697.34 and 7,618.59 is: 10,515.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.89 : 16,697.34 = 7,618.59 : x
  2. Step 2: Convert to fraction form
    12,097.89/16,697.34 = 7,618.59/x
  3. Step 3: Cross multiply
    12,097.89x = 16,697.34 × 7,618.59
  4. Step 4: Simplify right side
    12,097.89x = 127,210,187.55
  5. Step 5: Solve for x
    x = 127,210,187.55/12,097.89
  6. Step 6: Final answer
    x = 10,515.07

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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.