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Finding the Fourth Proportional to 22,768.86, 31,422.63 and 12,697.98

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Solution

The fourth proportional to 22,768.86, 31,422.63 and 12,697.98 is: 17,524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,768.86 : 31,422.63 = 12,697.98 : x
  2. Step 2: Convert to fraction form
    22,768.86/31,422.63 = 12,697.98/x
  3. Step 3: Cross multiply
    22,768.86x = 31,422.63 × 12,697.98
  4. Step 4: Simplify right side
    22,768.86x = 399,003,927.29
  5. Step 5: Solve for x
    x = 399,003,927.29/22,768.86
  6. Step 6: Final answer
    x = 17,524.11

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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.