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Finding the Fourth Proportional to 12,816.54, 17,689.32 and 7,511.94

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Solution

The fourth proportional to 12,816.54, 17,689.32 and 7,511.94 is: 10,367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.54 : 17,689.32 = 7,511.94 : x
  2. Step 2: Convert to fraction form
    12,816.54/17,689.32 = 7,511.94/x
  3. Step 3: Cross multiply
    12,816.54x = 17,689.32 × 7,511.94
  4. Step 4: Simplify right side
    12,816.54x = 132,881,110.48
  5. Step 5: Solve for x
    x = 132,881,110.48/12,816.54
  6. Step 6: Final answer
    x = 10,367.94

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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.