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Finding the Fourth Proportional to 22,940.48, 31,662.34 and 13,381.50

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Solution

The fourth proportional to 22,940.48, 31,662.34 and 13,381.50 is: 18,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,940.48 : 31,662.34 = 13,381.50 : x
  2. Step 2: Convert to fraction form
    22,940.48/31,662.34 = 13,381.50/x
  3. Step 3: Cross multiply
    22,940.48x = 31,662.34 × 13,381.50
  4. Step 4: Simplify right side
    22,940.48x = 423,689,602.71
  5. Step 5: Solve for x
    x = 423,689,602.71/22,940.48
  6. Step 6: Final answer
    x = 18,469.08

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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.