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Finding the Fourth Proportional to 20,192.80, 30,256.80 and 19,026.40

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Solution

The fourth proportional to 20,192.80, 30,256.80 and 19,026.40 is: 28,509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,192.80 : 30,256.80 = 19,026.40 : x
  2. Step 2: Convert to fraction form
    20,192.80/30,256.80 = 19,026.40/x
  3. Step 3: Cross multiply
    20,192.80x = 30,256.80 × 19,026.40
  4. Step 4: Simplify right side
    20,192.80x = 575,677,979.52
  5. Step 5: Solve for x
    x = 575,677,979.52/20,192.80
  6. Step 6: Final answer
    x = 28,509.07

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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.