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Finding the Fourth Proportional to 21,955.43, 32,933 and 7,164.36

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Solution

The fourth proportional to 21,955.43, 32,933 and 7,164.36 is: 10,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,955.43 : 32,933 = 7,164.36 : x
  2. Step 2: Convert to fraction form
    21,955.43/32,933 = 7,164.36/x
  3. Step 3: Cross multiply
    21,955.43x = 32,933 × 7,164.36
  4. Step 4: Simplify right side
    21,955.43x = 235,943,867.88
  5. Step 5: Solve for x
    x = 235,943,867.88/21,955.43
  6. Step 6: Final answer
    x = 10,746.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.