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Finding the Fourth Proportional to 22,593.25, 31,178.69 and 12,657.25

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Solution

The fourth proportional to 22,593.25, 31,178.69 and 12,657.25 is: 17,467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,593.25 : 31,178.69 = 12,657.25 : x
  2. Step 2: Convert to fraction form
    22,593.25/31,178.69 = 12,657.25/x
  3. Step 3: Cross multiply
    22,593.25x = 31,178.69 × 12,657.25
  4. Step 4: Simplify right side
    22,593.25x = 394,636,474.00
  5. Step 5: Solve for x
    x = 394,636,474.00/22,593.25
  6. Step 6: Final answer
    x = 17,467.01

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