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Finding the Fourth Proportional to 22,663.94, 31,273.98 and 13,238

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Solution

The fourth proportional to 22,663.94, 31,273.98 and 13,238 is: 18,267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.94 : 31,273.98 = 13,238 : x
  2. Step 2: Convert to fraction form
    22,663.94/31,273.98 = 13,238/x
  3. Step 3: Cross multiply
    22,663.94x = 31,273.98 × 13,238
  4. Step 4: Simplify right side
    22,663.94x = 414,004,947.24
  5. Step 5: Solve for x
    x = 414,004,947.24/22,663.94
  6. Step 6: Final answer
    x = 18,267.12

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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.