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Finding the Fourth Proportional to 19,852.52, 27,402.30 and 11,359.46

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Solution

The fourth proportional to 19,852.52, 27,402.30 and 11,359.46 is: 15,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.52 : 27,402.30 = 11,359.46 : x
  2. Step 2: Convert to fraction form
    19,852.52/27,402.30 = 11,359.46/x
  3. Step 3: Cross multiply
    19,852.52x = 27,402.30 × 11,359.46
  4. Step 4: Simplify right side
    19,852.52x = 311,275,399.26
  5. Step 5: Solve for x
    x = 311,275,399.26/19,852.52
  6. Step 6: Final answer
    x = 15,679.39

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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.