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Finding the Fourth Proportional to 19,074.25, 28,619.25 and 10,298.83

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Solution

The fourth proportional to 19,074.25, 28,619.25 and 10,298.83 is: 15,452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,074.25 : 28,619.25 = 10,298.83 : x
  2. Step 2: Convert to fraction form
    19,074.25/28,619.25 = 10,298.83/x
  3. Step 3: Cross multiply
    19,074.25x = 28,619.25 × 10,298.83
  4. Step 4: Simplify right side
    19,074.25x = 294,744,790.48
  5. Step 5: Solve for x
    x = 294,744,790.48/19,074.25
  6. Step 6: Final answer
    x = 15,452.50

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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.