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Finding the Fourth Proportional to 13,773.08, 19,006.98 and 8,183

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Solution

The fourth proportional to 13,773.08, 19,006.98 and 8,183 is: 11,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.08 : 19,006.98 = 8,183 : x
  2. Step 2: Convert to fraction form
    13,773.08/19,006.98 = 8,183/x
  3. Step 3: Cross multiply
    13,773.08x = 19,006.98 × 8,183
  4. Step 4: Simplify right side
    13,773.08x = 155,534,117.34
  5. Step 5: Solve for x
    x = 155,534,117.34/13,773.08
  6. Step 6: Final answer
    x = 11,292.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.