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Finding the Fourth Proportional to 22,971.57, 31,704.17 and 14,024.26

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Solution

The fourth proportional to 22,971.57, 31,704.17 and 14,024.26 is: 19,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971.57 : 31,704.17 = 14,024.26 : x
  2. Step 2: Convert to fraction form
    22,971.57/31,704.17 = 14,024.26/x
  3. Step 3: Cross multiply
    22,971.57x = 31,704.17 × 14,024.26
  4. Step 4: Simplify right side
    22,971.57x = 444,627,597.86
  5. Step 5: Solve for x
    x = 444,627,597.86/22,971.57
  6. Step 6: Final answer
    x = 19,355.56

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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.