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Finding the Fourth Proportional to 21,956.93, 32,935.25 and 7,165.85

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Solution

The fourth proportional to 21,956.93, 32,935.25 and 7,165.85 is: 10,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,956.93 : 32,935.25 = 7,165.85 : x
  2. Step 2: Convert to fraction form
    21,956.93/32,935.25 = 7,165.85/x
  3. Step 3: Cross multiply
    21,956.93x = 32,935.25 × 7,165.85
  4. Step 4: Simplify right side
    21,956.93x = 236,009,161.47
  5. Step 5: Solve for x
    x = 236,009,161.47/21,956.93
  6. Step 6: Final answer
    x = 10,748.73

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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.