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Finding the Fourth Proportional to 12,097.07, 16,695.77 and 7,384.09

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Solution

The fourth proportional to 12,097.07, 16,695.77 and 7,384.09 is: 10,191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.07 : 16,695.77 = 7,384.09 : x
  2. Step 2: Convert to fraction form
    12,097.07/16,695.77 = 7,384.09/x
  3. Step 3: Cross multiply
    12,097.07x = 16,695.77 × 7,384.09
  4. Step 4: Simplify right side
    12,097.07x = 123,282,947.90
  5. Step 5: Solve for x
    x = 123,282,947.90/12,097.07
  6. Step 6: Final answer
    x = 10,191.14

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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.