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Finding the Fourth Proportional to 12,964.30, 19,414.05 and 8,557.90

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Solution

The fourth proportional to 12,964.30, 19,414.05 and 8,557.90 is: 12,815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964.30 : 19,414.05 = 8,557.90 : x
  2. Step 2: Convert to fraction form
    12,964.30/19,414.05 = 8,557.90/x
  3. Step 3: Cross multiply
    12,964.30x = 19,414.05 × 8,557.90
  4. Step 4: Simplify right side
    12,964.30x = 166,143,498.50
  5. Step 5: Solve for x
    x = 166,143,498.50/12,964.30
  6. Step 6: Final answer
    x = 12,815.46

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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.