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Finding the Fourth Proportional to 23,773.69, 32,808.10 and 13,018.39

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Solution

The fourth proportional to 23,773.69, 32,808.10 and 13,018.39 is: 17,965.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,773.69 : 32,808.10 = 13,018.39 : x
  2. Step 2: Convert to fraction form
    23,773.69/32,808.10 = 13,018.39/x
  3. Step 3: Cross multiply
    23,773.69x = 32,808.10 × 13,018.39
  4. Step 4: Simplify right side
    23,773.69x = 427,108,575.87
  5. Step 5: Solve for x
    x = 427,108,575.87/23,773.69
  6. Step 6: Final answer
    x = 17,965.60

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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.