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Finding the Fourth Proportional to 13,076.72, 18,046.32 and 7,411.40

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Solution

The fourth proportional to 13,076.72, 18,046.32 and 7,411.40 is: 10,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.72 : 18,046.32 = 7,411.40 : x
  2. Step 2: Convert to fraction form
    13,076.72/18,046.32 = 7,411.40/x
  3. Step 3: Cross multiply
    13,076.72x = 18,046.32 × 7,411.40
  4. Step 4: Simplify right side
    13,076.72x = 133,748,496.05
  5. Step 5: Solve for x
    x = 133,748,496.05/13,076.72
  6. Step 6: Final answer
    x = 10,227.99

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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.