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Finding the Fourth Proportional to 21,784.36, 32,670.06 and 7,930.12

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Solution

The fourth proportional to 21,784.36, 32,670.06 and 7,930.12 is: 11,892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,784.36 : 32,670.06 = 7,930.12 : x
  2. Step 2: Convert to fraction form
    21,784.36/32,670.06 = 7,930.12/x
  3. Step 3: Cross multiply
    21,784.36x = 32,670.06 × 7,930.12
  4. Step 4: Simplify right side
    21,784.36x = 259,077,496.21
  5. Step 5: Solve for x
    x = 259,077,496.21/21,784.36
  6. Step 6: Final answer
    x = 11,892.82

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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.