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Finding the Fourth Proportional to 12,942.70, 19,414.05 and 7,110.70

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Solution

The fourth proportional to 12,942.70, 19,414.05 and 7,110.70 is: 10,666.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,942.70 : 19,414.05 = 7,110.70 : x
  2. Step 2: Convert to fraction form
    12,942.70/19,414.05 = 7,110.70/x
  3. Step 3: Cross multiply
    12,942.70x = 19,414.05 × 7,110.70
  4. Step 4: Simplify right side
    12,942.70x = 138,047,485.34
  5. Step 5: Solve for x
    x = 138,047,485.34/12,942.70
  6. Step 6: Final answer
    x = 10,666.05

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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.