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Finding the Fourth Proportional to 21,955.74, 32,934.67 and 7,164.64

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Solution

The fourth proportional to 21,955.74, 32,934.67 and 7,164.64 is: 10,747.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,955.74 : 32,934.67 = 7,164.64 : x
  2. Step 2: Convert to fraction form
    21,955.74/32,934.67 = 7,164.64/x
  3. Step 3: Cross multiply
    21,955.74x = 32,934.67 × 7,164.64
  4. Step 4: Simplify right side
    21,955.74x = 235,965,054.07
  5. Step 5: Solve for x
    x = 235,965,054.07/21,955.74
  6. Step 6: Final answer
    x = 10,747.31

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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.