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Finding the Fourth Proportional to 12,193.43, 16,826.81 and 7,156.76

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Solution

The fourth proportional to 12,193.43, 16,826.81 and 7,156.76 is: 9,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.43 : 16,826.81 = 7,156.76 : x
  2. Step 2: Convert to fraction form
    12,193.43/16,826.81 = 7,156.76/x
  3. Step 3: Cross multiply
    12,193.43x = 16,826.81 × 7,156.76
  4. Step 4: Simplify right side
    12,193.43x = 120,425,320.82
  5. Step 5: Solve for x
    x = 120,425,320.82/12,193.43
  6. Step 6: Final answer
    x = 9,876.25

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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.