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Finding the Fourth Proportional to 13,495.56, 20,249.10 and 7,643.40

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Solution

The fourth proportional to 13,495.56, 20,249.10 and 7,643.40 is: 11,468.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,495.56 : 20,249.10 = 7,643.40 : x
  2. Step 2: Convert to fraction form
    13,495.56/20,249.10 = 7,643.40/x
  3. Step 3: Cross multiply
    13,495.56x = 20,249.10 × 7,643.40
  4. Step 4: Simplify right side
    13,495.56x = 154,771,970.94
  5. Step 5: Solve for x
    x = 154,771,970.94/13,495.56
  6. Step 6: Final answer
    x = 11,468.36

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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.