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Finding the Fourth Proportional to 22,807.14, 31,475.16 and 12,735.72

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Solution

The fourth proportional to 22,807.14, 31,475.16 and 12,735.72 is: 17,576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,807.14 : 31,475.16 = 12,735.72 : x
  2. Step 2: Convert to fraction form
    22,807.14/31,475.16 = 12,735.72/x
  3. Step 3: Cross multiply
    22,807.14x = 31,475.16 × 12,735.72
  4. Step 4: Simplify right side
    22,807.14x = 400,858,824.72
  5. Step 5: Solve for x
    x = 400,858,824.72/22,807.14
  6. Step 6: Final answer
    x = 17,576.02

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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.