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Finding the Fourth Proportional to 12,288.14, 16,958.85 and 7,254.02

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Solution

The fourth proportional to 12,288.14, 16,958.85 and 7,254.02 is: 10,011.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.14 : 16,958.85 = 7,254.02 : x
  2. Step 2: Convert to fraction form
    12,288.14/16,958.85 = 7,254.02/x
  3. Step 3: Cross multiply
    12,288.14x = 16,958.85 × 7,254.02
  4. Step 4: Simplify right side
    12,288.14x = 123,019,837.08
  5. Step 5: Solve for x
    x = 123,019,837.08/12,288.14
  6. Step 6: Final answer
    x = 10,011.27

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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.