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Finding the Fourth Proportional to 23,097.20, 34,597.20 and 19,209.20

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Solution

The fourth proportional to 23,097.20, 34,597.20 and 19,209.20 is: 28,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,097.20 : 34,597.20 = 19,209.20 : x
  2. Step 2: Convert to fraction form
    23,097.20/34,597.20 = 19,209.20/x
  3. Step 3: Cross multiply
    23,097.20x = 34,597.20 × 19,209.20
  4. Step 4: Simplify right side
    23,097.20x = 664,584,534.24
  5. Step 5: Solve for x
    x = 664,584,534.24/23,097.20
  6. Step 6: Final answer
    x = 28,773.38

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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.