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Finding the Fourth Proportional to 26,907.29, 40,360.95 and 12,864

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Solution

The fourth proportional to 26,907.29, 40,360.95 and 12,864 is: 19,296.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,907.29 : 40,360.95 = 12,864 : x
  2. Step 2: Convert to fraction form
    26,907.29/40,360.95 = 12,864/x
  3. Step 3: Cross multiply
    26,907.29x = 40,360.95 × 12,864
  4. Step 4: Simplify right side
    26,907.29x = 519,203,260.80
  5. Step 5: Solve for x
    x = 519,203,260.80/26,907.29
  6. Step 6: Final answer
    x = 19,296.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.