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Finding the Fourth Proportional to 13,204.86, 19,801.10 and 7,659.78

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Solution

The fourth proportional to 13,204.86, 19,801.10 and 7,659.78 is: 11,486.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.86 : 19,801.10 = 7,659.78 : x
  2. Step 2: Convert to fraction form
    13,204.86/19,801.10 = 7,659.78/x
  3. Step 3: Cross multiply
    13,204.86x = 19,801.10 × 7,659.78
  4. Step 4: Simplify right side
    13,204.86x = 151,672,069.76
  5. Step 5: Solve for x
    x = 151,672,069.76/13,204.86
  6. Step 6: Final answer
    x = 11,486.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.