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Finding the Fourth Proportional to 12,911.10, 19,348.19 and 7,352.97

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Solution

The fourth proportional to 12,911.10, 19,348.19 and 7,352.97 is: 11,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.10 : 19,348.19 = 7,352.97 : x
  2. Step 2: Convert to fraction form
    12,911.10/19,348.19 = 7,352.97/x
  3. Step 3: Cross multiply
    12,911.10x = 19,348.19 × 7,352.97
  4. Step 4: Simplify right side
    12,911.10x = 142,266,660.62
  5. Step 5: Solve for x
    x = 142,266,660.62/12,911.10
  6. Step 6: Final answer
    x = 11,018.94

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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.