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Finding the Fourth Proportional to 19,491.05, 29,219.15 and 7,642.06

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Solution

The fourth proportional to 19,491.05, 29,219.15 and 7,642.06 is: 11,456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,491.05 : 29,219.15 = 7,642.06 : x
  2. Step 2: Convert to fraction form
    19,491.05/29,219.15 = 7,642.06/x
  3. Step 3: Cross multiply
    19,491.05x = 29,219.15 × 7,642.06
  4. Step 4: Simplify right side
    19,491.05x = 223,294,497.45
  5. Step 5: Solve for x
    x = 223,294,497.45/19,491.05
  6. Step 6: Final answer
    x = 11,456.26

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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.