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Finding the Fourth Proportional to 22,971.24, 31,700.70 and 12,762

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Solution

The fourth proportional to 22,971.24, 31,700.70 and 12,762 is: 17,611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.24 : 31,700.70 = 12,762 : x
  2. Step 2: Convert to fraction form
    22,971.24/31,700.70 = 12,762/x
  3. Step 3: Cross multiply
    22,971.24x = 31,700.70 × 12,762
  4. Step 4: Simplify right side
    22,971.24x = 404,564,333.40
  5. Step 5: Solve for x
    x = 404,564,333.40/22,971.24
  6. Step 6: Final answer
    x = 17,611.78

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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.