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Finding the Fourth Proportional to 26,497.31, 39,731 and 8,723.18

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Solution

The fourth proportional to 26,497.31, 39,731 and 8,723.18 is: 13,079.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,497.31 : 39,731 = 8,723.18 : x
  2. Step 2: Convert to fraction form
    26,497.31/39,731 = 8,723.18/x
  3. Step 3: Cross multiply
    26,497.31x = 39,731 × 8,723.18
  4. Step 4: Simplify right side
    26,497.31x = 346,580,664.58
  5. Step 5: Solve for x
    x = 346,580,664.58/26,497.31
  6. Step 6: Final answer
    x = 13,079.84

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Why These Related Problems?

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