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Finding the Fourth Proportional to 29,937.50, 41,314.01 and 16,509.23

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Solution

The fourth proportional to 29,937.50, 41,314.01 and 16,509.23 is: 22,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,937.50 : 41,314.01 = 16,509.23 : x
  2. Step 2: Convert to fraction form
    29,937.50/41,314.01 = 16,509.23/x
  3. Step 3: Cross multiply
    29,937.50x = 41,314.01 × 16,509.23
  4. Step 4: Simplify right side
    29,937.50x = 682,062,204.20
  5. Step 5: Solve for x
    x = 682,062,204.20/29,937.50
  6. Step 6: Final answer
    x = 22,782.87

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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.