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Finding the Fourth Proportional to 27,533.25, 37,995.89 and 14,958

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Solution

The fourth proportional to 27,533.25, 37,995.89 and 14,958 is: 20,642.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,533.25 : 37,995.89 = 14,958 : x
  2. Step 2: Convert to fraction form
    27,533.25/37,995.89 = 14,958/x
  3. Step 3: Cross multiply
    27,533.25x = 37,995.89 × 14,958
  4. Step 4: Simplify right side
    27,533.25x = 568,342,447.83
  5. Step 5: Solve for x
    x = 568,342,447.83/27,533.25
  6. Step 6: Final answer
    x = 20,642.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.