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Finding the Fourth Proportional to 19,574.40, 29,353.38 and 6,419.52

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Solution

The fourth proportional to 19,574.40, 29,353.38 and 6,419.52 is: 9,626.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,574.40 : 29,353.38 = 6,419.52 : x
  2. Step 2: Convert to fraction form
    19,574.40/29,353.38 = 6,419.52/x
  3. Step 3: Cross multiply
    19,574.40x = 29,353.38 × 6,419.52
  4. Step 4: Simplify right side
    19,574.40x = 188,434,609.98
  5. Step 5: Solve for x
    x = 188,434,609.98/19,574.40
  6. Step 6: Final answer
    x = 9,626.58

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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.