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Finding the Fourth Proportional to 22,647.42, 31,256.32 and 13,694.98

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Solution

The fourth proportional to 22,647.42, 31,256.32 and 13,694.98 is: 18,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.42 : 31,256.32 = 13,694.98 : x
  2. Step 2: Convert to fraction form
    22,647.42/31,256.32 = 13,694.98/x
  3. Step 3: Cross multiply
    22,647.42x = 31,256.32 × 13,694.98
  4. Step 4: Simplify right side
    22,647.42x = 428,054,686.94
  5. Step 5: Solve for x
    x = 428,054,686.94/22,647.42
  6. Step 6: Final answer
    x = 18,900.82

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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.