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Finding the Fourth Proportional to 13,405.68, 20,110.35 and 7,785.99

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Solution

The fourth proportional to 13,405.68, 20,110.35 and 7,785.99 is: 11,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.68 : 20,110.35 = 7,785.99 : x
  2. Step 2: Convert to fraction form
    13,405.68/20,110.35 = 7,785.99/x
  3. Step 3: Cross multiply
    13,405.68x = 20,110.35 × 7,785.99
  4. Step 4: Simplify right side
    13,405.68x = 156,578,984.00
  5. Step 5: Solve for x
    x = 156,578,984.00/13,405.68
  6. Step 6: Final answer
    x = 11,680.05

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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.