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Finding the Fourth Proportional to 13,713.20, 18,925.04 and 7,745.42

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Solution

The fourth proportional to 13,713.20, 18,925.04 and 7,745.42 is: 10,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.20 : 18,925.04 = 7,745.42 : x
  2. Step 2: Convert to fraction form
    13,713.20/18,925.04 = 7,745.42/x
  3. Step 3: Cross multiply
    13,713.20x = 18,925.04 × 7,745.42
  4. Step 4: Simplify right side
    13,713.20x = 146,582,449.99
  5. Step 5: Solve for x
    x = 146,582,449.99/13,713.20
  6. Step 6: Final answer
    x = 10,689.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.