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Finding the Fourth Proportional to 22,777.70, 31,434.62 and 12,706.16

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Solution

The fourth proportional to 22,777.70, 31,434.62 and 12,706.16 is: 17,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,777.70 : 31,434.62 = 12,706.16 : x
  2. Step 2: Convert to fraction form
    22,777.70/31,434.62 = 12,706.16/x
  3. Step 3: Cross multiply
    22,777.70x = 31,434.62 × 12,706.16
  4. Step 4: Simplify right side
    22,777.70x = 399,413,090.56
  5. Step 5: Solve for x
    x = 399,413,090.56/22,777.70
  6. Step 6: Final answer
    x = 17,535.27

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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.