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Finding the Fourth Proportional to 12,900.50, 19,334.56 and 6,977.15

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Solution

The fourth proportional to 12,900.50, 19,334.56 and 6,977.15 is: 10,456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900.50 : 19,334.56 = 6,977.15 : x
  2. Step 2: Convert to fraction form
    12,900.50/19,334.56 = 6,977.15/x
  3. Step 3: Cross multiply
    12,900.50x = 19,334.56 × 6,977.15
  4. Step 4: Simplify right side
    12,900.50x = 134,900,125.30
  5. Step 5: Solve for x
    x = 134,900,125.30/12,900.50
  6. Step 6: Final answer
    x = 10,456.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.