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Finding the Fourth Proportional to 13,508.79, 18,643.82 and 8,202.21

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Solution

The fourth proportional to 13,508.79, 18,643.82 and 8,202.21 is: 11,320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.79 : 18,643.82 = 8,202.21 : x
  2. Step 2: Convert to fraction form
    13,508.79/18,643.82 = 8,202.21/x
  3. Step 3: Cross multiply
    13,508.79x = 18,643.82 × 8,202.21
  4. Step 4: Simplify right side
    13,508.79x = 152,920,485.83
  5. Step 5: Solve for x
    x = 152,920,485.83/13,508.79
  6. Step 6: Final answer
    x = 11,320.07

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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.