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Finding the Fourth Proportional to 22,822.46, 31,491.86 and 12,749.64

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Solution

The fourth proportional to 22,822.46, 31,491.86 and 12,749.64 is: 17,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,822.46 : 31,491.86 = 12,749.64 : x
  2. Step 2: Convert to fraction form
    22,822.46/31,491.86 = 12,749.64/x
  3. Step 3: Cross multiply
    22,822.46x = 31,491.86 × 12,749.64
  4. Step 4: Simplify right side
    22,822.46x = 401,509,877.93
  5. Step 5: Solve for x
    x = 401,509,877.93/22,822.46
  6. Step 6: Final answer
    x = 17,592.75

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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.