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Finding the Fourth Proportional to 19,574.88, 29,356.14 and 6,424.20

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Solution

The fourth proportional to 19,574.88, 29,356.14 and 6,424.20 is: 9,634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,574.88 : 29,356.14 = 6,424.20 : x
  2. Step 2: Convert to fraction form
    19,574.88/29,356.14 = 6,424.20/x
  3. Step 3: Cross multiply
    19,574.88x = 29,356.14 × 6,424.20
  4. Step 4: Simplify right side
    19,574.88x = 188,589,714.59
  5. Step 5: Solve for x
    x = 188,589,714.59/19,574.88
  6. Step 6: Final answer
    x = 9,634.27

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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.