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Finding the Fourth Proportional to 19,000.20, 26,203.25 and 15,824.04

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Solution

The fourth proportional to 19,000.20, 26,203.25 and 15,824.04 is: 21,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,000.20 : 26,203.25 = 15,824.04 : x
  2. Step 2: Convert to fraction form
    19,000.20/26,203.25 = 15,824.04/x
  3. Step 3: Cross multiply
    19,000.20x = 26,203.25 × 15,824.04
  4. Step 4: Simplify right side
    19,000.20x = 414,641,197.01
  5. Step 5: Solve for x
    x = 414,641,197.01/19,000.20
  6. Step 6: Final answer
    x = 21,822.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.