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Finding the Fourth Proportional to 13,521.62, 18,663.16 and 8,219.96

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Solution

The fourth proportional to 13,521.62, 18,663.16 and 8,219.96 is: 11,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,521.62 : 18,663.16 = 8,219.96 : x
  2. Step 2: Convert to fraction form
    13,521.62/18,663.16 = 8,219.96/x
  3. Step 3: Cross multiply
    13,521.62x = 18,663.16 × 8,219.96
  4. Step 4: Simplify right side
    13,521.62x = 153,410,428.67
  5. Step 5: Solve for x
    x = 153,410,428.67/13,521.62
  6. Step 6: Final answer
    x = 11,345.57

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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.