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Finding the Fourth Proportional to 12,916.86, 17,824.82 and 7,327.86

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Solution

The fourth proportional to 12,916.86, 17,824.82 and 7,327.86 is: 10,112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.86 : 17,824.82 = 7,327.86 : x
  2. Step 2: Convert to fraction form
    12,916.86/17,824.82 = 7,327.86/x
  3. Step 3: Cross multiply
    12,916.86x = 17,824.82 × 7,327.86
  4. Step 4: Simplify right side
    12,916.86x = 130,617,785.49
  5. Step 5: Solve for x
    x = 130,617,785.49/12,916.86
  6. Step 6: Final answer
    x = 10,112.19

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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.