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Finding the Fourth Proportional to 12,889.69, 17,787.78 and 7,300.69

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Solution

The fourth proportional to 12,889.69, 17,787.78 and 7,300.69 is: 10,074.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.69 : 17,787.78 = 7,300.69 : x
  2. Step 2: Convert to fraction form
    12,889.69/17,787.78 = 7,300.69/x
  3. Step 3: Cross multiply
    12,889.69x = 17,787.78 × 7,300.69
  4. Step 4: Simplify right side
    12,889.69x = 129,863,023.10
  5. Step 5: Solve for x
    x = 129,863,023.10/12,889.69
  6. Step 6: Final answer
    x = 10,074.96

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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.