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Finding the Fourth Proportional to 22,606.49, 33,916.34 and 10,123.74

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Solution

The fourth proportional to 22,606.49, 33,916.34 and 10,123.74 is: 15,188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,606.49 : 33,916.34 = 10,123.74 : x
  2. Step 2: Convert to fraction form
    22,606.49/33,916.34 = 10,123.74/x
  3. Step 3: Cross multiply
    22,606.49x = 33,916.34 × 10,123.74
  4. Step 4: Simplify right side
    22,606.49x = 343,360,233.22
  5. Step 5: Solve for x
    x = 343,360,233.22/22,606.49
  6. Step 6: Final answer
    x = 15,188.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.