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Finding the Fourth Proportional to 23,682.29, 32,681.41 and 12,927.12

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Solution

The fourth proportional to 23,682.29, 32,681.41 and 12,927.12 is: 17,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.29 : 32,681.41 = 12,927.12 : x
  2. Step 2: Convert to fraction form
    23,682.29/32,681.41 = 12,927.12/x
  3. Step 3: Cross multiply
    23,682.29x = 32,681.41 × 12,927.12
  4. Step 4: Simplify right side
    23,682.29x = 422,476,444.20
  5. Step 5: Solve for x
    x = 422,476,444.20/23,682.29
  6. Step 6: Final answer
    x = 17,839.34

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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.