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Finding the Fourth Proportional to 23,301, 32,149.80 and 13,608.96

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Solution

The fourth proportional to 23,301, 32,149.80 and 13,608.96 is: 18,777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,301 : 32,149.80 = 13,608.96 : x
  2. Step 2: Convert to fraction form
    23,301/32,149.80 = 13,608.96/x
  3. Step 3: Cross multiply
    23,301x = 32,149.80 × 13,608.96
  4. Step 4: Simplify right side
    23,301x = 437,525,342.21
  5. Step 5: Solve for x
    x = 437,525,342.21/23,301
  6. Step 6: Final answer
    x = 18,777.11

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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.