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Finding the Fourth Proportional to 19,257.76, 28,873.84 and 6,944.16

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Solution

The fourth proportional to 19,257.76, 28,873.84 and 6,944.16 is: 10,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,257.76 : 28,873.84 = 6,944.16 : x
  2. Step 2: Convert to fraction form
    19,257.76/28,873.84 = 6,944.16/x
  3. Step 3: Cross multiply
    19,257.76x = 28,873.84 × 6,944.16
  4. Step 4: Simplify right side
    19,257.76x = 200,504,564.77
  5. Step 5: Solve for x
    x = 200,504,564.77/19,257.76
  6. Step 6: Final answer
    x = 10,411.62

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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.