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Finding the Fourth Proportional to 19,542.62, 26,970.64 and 11,157.50

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Solution

The fourth proportional to 19,542.62, 26,970.64 and 11,157.50 is: 15,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,542.62 : 26,970.64 = 11,157.50 : x
  2. Step 2: Convert to fraction form
    19,542.62/26,970.64 = 11,157.50/x
  3. Step 3: Cross multiply
    19,542.62x = 26,970.64 × 11,157.50
  4. Step 4: Simplify right side
    19,542.62x = 300,924,915.80
  5. Step 5: Solve for x
    x = 300,924,915.80/19,542.62
  6. Step 6: Final answer
    x = 15,398.39

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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.