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Finding the Fourth Proportional to 19,646.40, 29,469.60 and 14,656.80

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Solution

The fourth proportional to 19,646.40, 29,469.60 and 14,656.80 is: 21,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,646.40 : 29,469.60 = 14,656.80 : x
  2. Step 2: Convert to fraction form
    19,646.40/29,469.60 = 14,656.80/x
  3. Step 3: Cross multiply
    19,646.40x = 29,469.60 × 14,656.80
  4. Step 4: Simplify right side
    19,646.40x = 431,930,033.28
  5. Step 5: Solve for x
    x = 431,930,033.28/19,646.40
  6. Step 6: Final answer
    x = 21,985.20

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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.