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Finding the Fourth Proportional to 11,685.33, 16,123.74 and 11,094.24

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Solution

The fourth proportional to 11,685.33, 16,123.74 and 11,094.24 is: 15,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.33 : 16,123.74 = 11,094.24 : x
  2. Step 2: Convert to fraction form
    11,685.33/16,123.74 = 11,094.24/x
  3. Step 3: Cross multiply
    11,685.33x = 16,123.74 × 11,094.24
  4. Step 4: Simplify right side
    11,685.33x = 178,880,641.26
  5. Step 5: Solve for x
    x = 178,880,641.26/11,685.33
  6. Step 6: Final answer
    x = 15,308.14

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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.