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Finding the Fourth Proportional to 13,405.15, 20,101.24 and 7,860.30

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Solution

The fourth proportional to 13,405.15, 20,101.24 and 7,860.30 is: 11,786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.15 : 20,101.24 = 7,860.30 : x
  2. Step 2: Convert to fraction form
    13,405.15/20,101.24 = 7,860.30/x
  3. Step 3: Cross multiply
    13,405.15x = 20,101.24 × 7,860.30
  4. Step 4: Simplify right side
    13,405.15x = 158,001,776.77
  5. Step 5: Solve for x
    x = 158,001,776.77/13,405.15
  6. Step 6: Final answer
    x = 11,786.65

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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.