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Finding the Fourth Proportional to 19,322.40, 28,994.40 and 8,227.20

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Solution

The fourth proportional to 19,322.40, 28,994.40 and 8,227.20 is: 12,345.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,322.40 : 28,994.40 = 8,227.20 : x
  2. Step 2: Convert to fraction form
    19,322.40/28,994.40 = 8,227.20/x
  3. Step 3: Cross multiply
    19,322.40x = 28,994.40 × 8,227.20
  4. Step 4: Simplify right side
    19,322.40x = 238,542,727.68
  5. Step 5: Solve for x
    x = 238,542,727.68/19,322.40
  6. Step 6: Final answer
    x = 12,345.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.