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Finding the Fourth Proportional to 12,922.36, 17,834.81 and 7,889.51

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Solution

The fourth proportional to 12,922.36, 17,834.81 and 7,889.51 is: 10,888.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,922.36 : 17,834.81 = 7,889.51 : x
  2. Step 2: Convert to fraction form
    12,922.36/17,834.81 = 7,889.51/x
  3. Step 3: Cross multiply
    12,922.36x = 17,834.81 × 7,889.51
  4. Step 4: Simplify right side
    12,922.36x = 140,707,916.98
  5. Step 5: Solve for x
    x = 140,707,916.98/12,922.36
  6. Step 6: Final answer
    x = 10,888.72

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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.