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Finding the Fourth Proportional to 22,970.24, 31,699.32 and 12,761

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Solution

The fourth proportional to 22,970.24, 31,699.32 and 12,761 is: 17,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.24 : 31,699.32 = 12,761 : x
  2. Step 2: Convert to fraction form
    22,970.24/31,699.32 = 12,761/x
  3. Step 3: Cross multiply
    22,970.24x = 31,699.32 × 12,761
  4. Step 4: Simplify right side
    22,970.24x = 404,515,022.52
  5. Step 5: Solve for x
    x = 404,515,022.52/22,970.24
  6. Step 6: Final answer
    x = 17,610.40

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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.