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Finding the Fourth Proportional to 31,596.90, 47,410.00 and 13,825.22

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Solution

The fourth proportional to 31,596.90, 47,410.00 and 13,825.22 is: 20,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596.90 : 47,410.00 = 13,825.22 : x
  2. Step 2: Convert to fraction form
    31,596.90/47,410.00 = 13,825.22/x
  3. Step 3: Cross multiply
    31,596.90x = 47,410.00 × 13,825.22
  4. Step 4: Simplify right side
    31,596.90x = 655,453,374.02
  5. Step 5: Solve for x
    x = 655,453,374.02/31,596.90
  6. Step 6: Final answer
    x = 20,744.23

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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.