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Finding the Fourth Proportional to 20,596.34, 31,046.78 and 19,392.30

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Solution

The fourth proportional to 20,596.34, 31,046.78 and 19,392.30 is: 29,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596.34 : 31,046.78 = 19,392.30 : x
  2. Step 2: Convert to fraction form
    20,596.34/31,046.78 = 19,392.30/x
  3. Step 3: Cross multiply
    20,596.34x = 31,046.78 × 19,392.30
  4. Step 4: Simplify right side
    20,596.34x = 602,068,374.83
  5. Step 5: Solve for x
    x = 602,068,374.83/20,596.34
  6. Step 6: Final answer
    x = 29,231.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.