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Finding the Fourth Proportional to 31,420.24, 43,360.08 and 17,274

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Solution

The fourth proportional to 31,420.24, 43,360.08 and 17,274 is: 23,838.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,420.24 : 43,360.08 = 17,274 : x
  2. Step 2: Convert to fraction form
    31,420.24/43,360.08 = 17,274/x
  3. Step 3: Cross multiply
    31,420.24x = 43,360.08 × 17,274
  4. Step 4: Simplify right side
    31,420.24x = 749,002,021.92
  5. Step 5: Solve for x
    x = 749,002,021.92/31,420.24
  6. Step 6: Final answer
    x = 23,838.20

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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.