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Finding the Fourth Proportional to 22,596.32, 31,165.34 and 13,634.48

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Solution

The fourth proportional to 22,596.32, 31,165.34 and 13,634.48 is: 18,804.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596.32 : 31,165.34 = 13,634.48 : x
  2. Step 2: Convert to fraction form
    22,596.32/31,165.34 = 13,634.48/x
  3. Step 3: Cross multiply
    22,596.32x = 31,165.34 × 13,634.48
  4. Step 4: Simplify right side
    22,596.32x = 424,922,980.92
  5. Step 5: Solve for x
    x = 424,922,980.92/22,596.32
  6. Step 6: Final answer
    x = 18,804.97

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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.