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Finding the Fourth Proportional to 22,665.16, 31,271.44 and 13,706.20

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Solution

The fourth proportional to 22,665.16, 31,271.44 and 13,706.20 is: 18,910.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,665.16 : 31,271.44 = 13,706.20 : x
  2. Step 2: Convert to fraction form
    22,665.16/31,271.44 = 13,706.20/x
  3. Step 3: Cross multiply
    22,665.16x = 31,271.44 × 13,706.20
  4. Step 4: Simplify right side
    22,665.16x = 428,612,610.93
  5. Step 5: Solve for x
    x = 428,612,610.93/22,665.16
  6. Step 6: Final answer
    x = 18,910.64

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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.