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Finding the Fourth Proportional to 13,086.01, 19,628.55 and 5,690.48

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Solution

The fourth proportional to 13,086.01, 19,628.55 and 5,690.48 is: 8,535.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.01 : 19,628.55 = 5,690.48 : x
  2. Step 2: Convert to fraction form
    13,086.01/19,628.55 = 5,690.48/x
  3. Step 3: Cross multiply
    13,086.01x = 19,628.55 × 5,690.48
  4. Step 4: Simplify right side
    13,086.01x = 111,695,844.27
  5. Step 5: Solve for x
    x = 111,695,844.27/13,086.01
  6. Step 6: Final answer
    x = 8,535.52

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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.