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Finding the Fourth Proportional to 18,023.34, 24,871.38 and 10,064

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Solution

The fourth proportional to 18,023.34, 24,871.38 and 10,064 is: 13,887.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,023.34 : 24,871.38 = 10,064 : x
  2. Step 2: Convert to fraction form
    18,023.34/24,871.38 = 10,064/x
  3. Step 3: Cross multiply
    18,023.34x = 24,871.38 × 10,064
  4. Step 4: Simplify right side
    18,023.34x = 250,305,568.32
  5. Step 5: Solve for x
    x = 250,305,568.32/18,023.34
  6. Step 6: Final answer
    x = 13,887.86

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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.