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Finding the Fourth Proportional to 12,853.05, 17,739.65 and 7,264.05

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Solution

The fourth proportional to 12,853.05, 17,739.65 and 7,264.05 is: 10,025.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.05 : 17,739.65 = 7,264.05 : x
  2. Step 2: Convert to fraction form
    12,853.05/17,739.65 = 7,264.05/x
  3. Step 3: Cross multiply
    12,853.05x = 17,739.65 × 7,264.05
  4. Step 4: Simplify right side
    12,853.05x = 128,861,754.82
  5. Step 5: Solve for x
    x = 128,861,754.82/12,853.05
  6. Step 6: Final answer
    x = 10,025.77

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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.