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Finding the Fourth Proportional to 20,957.70, 31,381.47 and 17,617.80

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Solution

The fourth proportional to 20,957.70, 31,381.47 and 17,617.80 is: 26,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.70 : 31,381.47 = 17,617.80 : x
  2. Step 2: Convert to fraction form
    20,957.70/31,381.47 = 17,617.80/x
  3. Step 3: Cross multiply
    20,957.70x = 31,381.47 × 17,617.80
  4. Step 4: Simplify right side
    20,957.70x = 552,872,462.17
  5. Step 5: Solve for x
    x = 552,872,462.17/20,957.70
  6. Step 6: Final answer
    x = 26,380.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.