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Finding the Fourth Proportional to 19,878.76, 29,798.70 and 8,200.36

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Solution

The fourth proportional to 19,878.76, 29,798.70 and 8,200.36 is: 12,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.76 : 29,798.70 = 8,200.36 : x
  2. Step 2: Convert to fraction form
    19,878.76/29,798.70 = 8,200.36/x
  3. Step 3: Cross multiply
    19,878.76x = 29,798.70 × 8,200.36
  4. Step 4: Simplify right side
    19,878.76x = 244,360,067.53
  5. Step 5: Solve for x
    x = 244,360,067.53/19,878.76
  6. Step 6: Final answer
    x = 12,292.52

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1.5x scale

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.