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Finding the Fourth Proportional to 23,193.64, 32,006.64 and 13,762

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Solution

The fourth proportional to 23,193.64, 32,006.64 and 13,762 is: 18,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.64 : 32,006.64 = 13,762 : x
  2. Step 2: Convert to fraction form
    23,193.64/32,006.64 = 13,762/x
  3. Step 3: Cross multiply
    23,193.64x = 32,006.64 × 13,762
  4. Step 4: Simplify right side
    23,193.64x = 440,475,379.68
  5. Step 5: Solve for x
    x = 440,475,379.68/23,193.64
  6. Step 6: Final answer
    x = 18,991.21

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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.