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Finding the Fourth Proportional to 23,739.53, 32,800.03 and 18,742

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Solution

The fourth proportional to 23,739.53, 32,800.03 and 18,742 is: 25,895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,739.53 : 32,800.03 = 18,742 : x
  2. Step 2: Convert to fraction form
    23,739.53/32,800.03 = 18,742/x
  3. Step 3: Cross multiply
    23,739.53x = 32,800.03 × 18,742
  4. Step 4: Simplify right side
    23,739.53x = 614,738,162.26
  5. Step 5: Solve for x
    x = 614,738,162.26/23,739.53
  6. Step 6: Final answer
    x = 25,895.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.