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Finding the Fourth Proportional to 22,892.68, 31,596.78 and 13,466.62

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Solution

The fourth proportional to 22,892.68, 31,596.78 and 13,466.62 is: 18,586.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,892.68 : 31,596.78 = 13,466.62 : x
  2. Step 2: Convert to fraction form
    22,892.68/31,596.78 = 13,466.62/x
  3. Step 3: Cross multiply
    22,892.68x = 31,596.78 × 13,466.62
  4. Step 4: Simplify right side
    22,892.68x = 425,501,829.48
  5. Step 5: Solve for x
    x = 425,501,829.48/22,892.68
  6. Step 6: Final answer
    x = 18,586.81

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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.