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Finding the Fourth Proportional to 19,412.36, 29,119.62 and 5,561

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Solution

The fourth proportional to 19,412.36, 29,119.62 and 5,561 is: 8,341.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412.36 : 29,119.62 = 5,561 : x
  2. Step 2: Convert to fraction form
    19,412.36/29,119.62 = 5,561/x
  3. Step 3: Cross multiply
    19,412.36x = 29,119.62 × 5,561
  4. Step 4: Simplify right side
    19,412.36x = 161,934,206.82
  5. Step 5: Solve for x
    x = 161,934,206.82/19,412.36
  6. Step 6: Final answer
    x = 8,341.81

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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.