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Finding the Fourth Proportional to 22,942.08, 31,654.08 and 12,868.32

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Solution

The fourth proportional to 22,942.08, 31,654.08 and 12,868.32 is: 17,754.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,942.08 : 31,654.08 = 12,868.32 : x
  2. Step 2: Convert to fraction form
    22,942.08/31,654.08 = 12,868.32/x
  3. Step 3: Cross multiply
    22,942.08x = 31,654.08 × 12,868.32
  4. Step 4: Simplify right side
    22,942.08x = 407,334,830.75
  5. Step 5: Solve for x
    x = 407,334,830.75/22,942.08
  6. Step 6: Final answer
    x = 17,754.92

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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.