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Finding the Fourth Proportional to 26,224.32, 39,335.94 and 6,502.65

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Solution

The fourth proportional to 26,224.32, 39,335.94 and 6,502.65 is: 9,753.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,224.32 : 39,335.94 = 6,502.65 : x
  2. Step 2: Convert to fraction form
    26,224.32/39,335.94 = 6,502.65/x
  3. Step 3: Cross multiply
    26,224.32x = 39,335.94 × 6,502.65
  4. Step 4: Simplify right side
    26,224.32x = 255,787,850.24
  5. Step 5: Solve for x
    x = 255,787,850.24/26,224.32
  6. Step 6: Final answer
    x = 9,753.84

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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.