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Finding the Fourth Proportional to 22,623.30, 31,220.18 and 13,193.68

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Solution

The fourth proportional to 22,623.30, 31,220.18 and 13,193.68 is: 18,207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,623.30 : 31,220.18 = 13,193.68 : x
  2. Step 2: Convert to fraction form
    22,623.30/31,220.18 = 13,193.68/x
  3. Step 3: Cross multiply
    22,623.30x = 31,220.18 × 13,193.68
  4. Step 4: Simplify right side
    22,623.30x = 411,909,064.46
  5. Step 5: Solve for x
    x = 411,909,064.46/22,623.30
  6. Step 6: Final answer
    x = 18,207.29

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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.