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Finding the Fourth Proportional to 22,997.52, 31,730.94 and 12,923.96

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Solution

The fourth proportional to 22,997.52, 31,730.94 and 12,923.96 is: 17,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,997.52 : 31,730.94 = 12,923.96 : x
  2. Step 2: Convert to fraction form
    22,997.52/31,730.94 = 12,923.96/x
  3. Step 3: Cross multiply
    22,997.52x = 31,730.94 × 12,923.96
  4. Step 4: Simplify right side
    22,997.52x = 410,089,240.67
  5. Step 5: Solve for x
    x = 410,089,240.67/22,997.52
  6. Step 6: Final answer
    x = 17,831.89

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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.