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Finding the Fourth Proportional to 19,614.74, 29,422.04 and 5,574.78

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Solution

The fourth proportional to 19,614.74, 29,422.04 and 5,574.78 is: 8,362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,614.74 : 29,422.04 = 5,574.78 : x
  2. Step 2: Convert to fraction form
    19,614.74/29,422.04 = 5,574.78/x
  3. Step 3: Cross multiply
    19,614.74x = 29,422.04 × 5,574.78
  4. Step 4: Simplify right side
    19,614.74x = 164,021,372.28
  5. Step 5: Solve for x
    x = 164,021,372.28/19,614.74
  6. Step 6: Final answer
    x = 8,362.15

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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.