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Finding the Fourth Proportional to 26,574.31, 36,674.22 and 14,637.65

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Solution

The fourth proportional to 26,574.31, 36,674.22 and 14,637.65 is: 20,200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,574.31 : 36,674.22 = 14,637.65 : x
  2. Step 2: Convert to fraction form
    26,574.31/36,674.22 = 14,637.65/x
  3. Step 3: Cross multiply
    26,574.31x = 36,674.22 × 14,637.65
  4. Step 4: Simplify right side
    26,574.31x = 536,824,396.38
  5. Step 5: Solve for x
    x = 536,824,396.38/26,574.31
  6. Step 6: Final answer
    x = 20,200.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.