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Finding the Fourth Proportional to 19,870.97, 29,799.86 and 8,021.67

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Solution

The fourth proportional to 19,870.97, 29,799.86 and 8,021.67 is: 12,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870.97 : 29,799.86 = 8,021.67 : x
  2. Step 2: Convert to fraction form
    19,870.97/29,799.86 = 8,021.67/x
  3. Step 3: Cross multiply
    19,870.97x = 29,799.86 × 8,021.67
  4. Step 4: Simplify right side
    19,870.97x = 239,044,602.86
  5. Step 5: Solve for x
    x = 239,044,602.86/19,870.97
  6. Step 6: Final answer
    x = 12,029.84

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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.