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Finding the Fourth Proportional to 22,768.52, 31,420.74 and 12,697.61

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Solution

The fourth proportional to 22,768.52, 31,420.74 and 12,697.61 is: 17,522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,768.52 : 31,420.74 = 12,697.61 : x
  2. Step 2: Convert to fraction form
    22,768.52/31,420.74 = 12,697.61/x
  3. Step 3: Cross multiply
    22,768.52x = 31,420.74 × 12,697.61
  4. Step 4: Simplify right side
    22,768.52x = 398,968,238.94
  5. Step 5: Solve for x
    x = 398,968,238.94/22,768.52
  6. Step 6: Final answer
    x = 17,522.80

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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.