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Finding the Fourth Proportional to 19,886.20, 29,822.10 and 10,022.20

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Solution

The fourth proportional to 19,886.20, 29,822.10 and 10,022.20 is: 15,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,886.20 : 29,822.10 = 10,022.20 : x
  2. Step 2: Convert to fraction form
    19,886.20/29,822.10 = 10,022.20/x
  3. Step 3: Cross multiply
    19,886.20x = 29,822.10 × 10,022.20
  4. Step 4: Simplify right side
    19,886.20x = 298,883,050.62
  5. Step 5: Solve for x
    x = 298,883,050.62/19,886.20
  6. Step 6: Final answer
    x = 15,029.67

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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.