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Finding the Fourth Proportional to 21,964.77, 32,965.61 and 9,494.31

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Solution

The fourth proportional to 21,964.77, 32,965.61 and 9,494.31 is: 14,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,964.77 : 32,965.61 = 9,494.31 : x
  2. Step 2: Convert to fraction form
    21,964.77/32,965.61 = 9,494.31/x
  3. Step 3: Cross multiply
    21,964.77x = 32,965.61 × 9,494.31
  4. Step 4: Simplify right side
    21,964.77x = 312,985,823.53
  5. Step 5: Solve for x
    x = 312,985,823.53/21,964.77
  6. Step 6: Final answer
    x = 14,249.45

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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.