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Finding the Fourth Proportional to 19,396.40, 29,112.80 and 9,542.80

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Solution

The fourth proportional to 19,396.40, 29,112.80 and 9,542.80 is: 14,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,396.40 : 29,112.80 = 9,542.80 : x
  2. Step 2: Convert to fraction form
    19,396.40/29,112.80 = 9,542.80/x
  3. Step 3: Cross multiply
    19,396.40x = 29,112.80 × 9,542.80
  4. Step 4: Simplify right side
    19,396.40x = 277,817,627.84
  5. Step 5: Solve for x
    x = 277,817,627.84/19,396.40
  6. Step 6: Final answer
    x = 14,323.15

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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.