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Finding the Fourth Proportional to 19,786.40, 29,679.55 and 15,290

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Solution

The fourth proportional to 19,786.40, 29,679.55 and 15,290 is: 22,934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,786.40 : 29,679.55 = 15,290 : x
  2. Step 2: Convert to fraction form
    19,786.40/29,679.55 = 15,290/x
  3. Step 3: Cross multiply
    19,786.40x = 29,679.55 × 15,290
  4. Step 4: Simplify right side
    19,786.40x = 453,800,319.50
  5. Step 5: Solve for x
    x = 453,800,319.50/19,786.40
  6. Step 6: Final answer
    x = 22,934.96

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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.