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Finding the Fourth Proportional to 23,536.71, 32,481.41 and 12,927.06

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Solution

The fourth proportional to 23,536.71, 32,481.41 and 12,927.06 is: 17,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,536.71 : 32,481.41 = 12,927.06 : x
  2. Step 2: Convert to fraction form
    23,536.71/32,481.41 = 12,927.06/x
  3. Step 3: Cross multiply
    23,536.71x = 32,481.41 × 12,927.06
  4. Step 4: Simplify right side
    23,536.71x = 419,889,071.32
  5. Step 5: Solve for x
    x = 419,889,071.32/23,536.71
  6. Step 6: Final answer
    x = 17,839.75

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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.