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Finding the Fourth Proportional to 13,646.88, 20,464.92 and 5,212.08

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Solution

The fourth proportional to 13,646.88, 20,464.92 and 5,212.08 is: 7,816.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.88 : 20,464.92 = 5,212.08 : x
  2. Step 2: Convert to fraction form
    13,646.88/20,464.92 = 5,212.08/x
  3. Step 3: Cross multiply
    13,646.88x = 20,464.92 × 5,212.08
  4. Step 4: Simplify right side
    13,646.88x = 106,664,800.23
  5. Step 5: Solve for x
    x = 106,664,800.23/13,646.88
  6. Step 6: Final answer
    x = 7,816.06

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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.