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Finding the Fourth Proportional to 22,342.72, 30,833.60 and 12,784.16

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Solution

The fourth proportional to 22,342.72, 30,833.60 and 12,784.16 is: 17,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342.72 : 30,833.60 = 12,784.16 : x
  2. Step 2: Convert to fraction form
    22,342.72/30,833.60 = 12,784.16/x
  3. Step 3: Cross multiply
    22,342.72x = 30,833.60 × 12,784.16
  4. Step 4: Simplify right side
    22,342.72x = 394,181,675.78
  5. Step 5: Solve for x
    x = 394,181,675.78/22,342.72
  6. Step 6: Final answer
    x = 17,642.51

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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.