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Finding the Fourth Proportional to 25,327, 37,991.04 and 8,686.96

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Solution

The fourth proportional to 25,327, 37,991.04 and 8,686.96 is: 13,030.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,327 : 37,991.04 = 8,686.96 : x
  2. Step 2: Convert to fraction form
    25,327/37,991.04 = 8,686.96/x
  3. Step 3: Cross multiply
    25,327x = 37,991.04 × 8,686.96
  4. Step 4: Simplify right side
    25,327x = 330,026,644.84
  5. Step 5: Solve for x
    x = 330,026,644.84/25,327
  6. Step 6: Final answer
    x = 13,030.63

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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.