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Finding the Fourth Proportional to 13,652.82, 20,488.14 and 4,887.90

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Solution

The fourth proportional to 13,652.82, 20,488.14 and 4,887.90 is: 7,335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652.82 : 20,488.14 = 4,887.90 : x
  2. Step 2: Convert to fraction form
    13,652.82/20,488.14 = 4,887.90/x
  3. Step 3: Cross multiply
    13,652.82x = 20,488.14 × 4,887.90
  4. Step 4: Simplify right side
    13,652.82x = 100,143,979.51
  5. Step 5: Solve for x
    x = 100,143,979.51/13,652.82
  6. Step 6: Final answer
    x = 7,335.04

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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.