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Finding the Fourth Proportional to 19,666.80, 29,519.40 and 9,817.20

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Solution

The fourth proportional to 19,666.80, 29,519.40 and 9,817.20 is: 14,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.80 : 29,519.40 = 9,817.20 : x
  2. Step 2: Convert to fraction form
    19,666.80/29,519.40 = 9,817.20/x
  3. Step 3: Cross multiply
    19,666.80x = 29,519.40 × 9,817.20
  4. Step 4: Simplify right side
    19,666.80x = 289,797,853.68
  5. Step 5: Solve for x
    x = 289,797,853.68/19,666.80
  6. Step 6: Final answer
    x = 14,735.38

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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.