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Finding the Fourth Proportional to 13,888.42, 20,832.63 and 6,097.30

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Solution

The fourth proportional to 13,888.42, 20,832.63 and 6,097.30 is: 9,145.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,888.42 : 20,832.63 = 6,097.30 : x
  2. Step 2: Convert to fraction form
    13,888.42/20,832.63 = 6,097.30/x
  3. Step 3: Cross multiply
    13,888.42x = 20,832.63 × 6,097.30
  4. Step 4: Simplify right side
    13,888.42x = 127,022,794.90
  5. Step 5: Solve for x
    x = 127,022,794.90/13,888.42
  6. Step 6: Final answer
    x = 9,145.95

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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.