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Finding the Fourth Proportional to 19,597.50, 27,044.55 and 10,765.50

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Solution

The fourth proportional to 19,597.50, 27,044.55 and 10,765.50 is: 14,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,597.50 : 27,044.55 = 10,765.50 : x
  2. Step 2: Convert to fraction form
    19,597.50/27,044.55 = 10,765.50/x
  3. Step 3: Cross multiply
    19,597.50x = 27,044.55 × 10,765.50
  4. Step 4: Simplify right side
    19,597.50x = 291,148,103.03
  5. Step 5: Solve for x
    x = 291,148,103.03/19,597.50
  6. Step 6: Final answer
    x = 14,856.39

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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.