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Finding the Fourth Proportional to 13,406.68, 20,111.85 and 7,786.99

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Solution

The fourth proportional to 13,406.68, 20,111.85 and 7,786.99 is: 11,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406.68 : 20,111.85 = 7,786.99 : x
  2. Step 2: Convert to fraction form
    13,406.68/20,111.85 = 7,786.99/x
  3. Step 3: Cross multiply
    13,406.68x = 20,111.85 × 7,786.99
  4. Step 4: Simplify right side
    13,406.68x = 156,610,774.83
  5. Step 5: Solve for x
    x = 156,610,774.83/13,406.68
  6. Step 6: Final answer
    x = 11,681.55

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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.