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Finding the Fourth Proportional to 12,930.44, 17,847.54 and 7,557.50

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Solution

The fourth proportional to 12,930.44, 17,847.54 and 7,557.50 is: 10,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,930.44 : 17,847.54 = 7,557.50 : x
  2. Step 2: Convert to fraction form
    12,930.44/17,847.54 = 7,557.50/x
  3. Step 3: Cross multiply
    12,930.44x = 17,847.54 × 7,557.50
  4. Step 4: Simplify right side
    12,930.44x = 134,882,828.17
  5. Step 5: Solve for x
    x = 134,882,828.17/12,930.44
  6. Step 6: Final answer
    x = 10,431.42

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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.