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Finding the Fourth Proportional to 22,596.50, 31,184.31 and 13,032.83

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Solution

The fourth proportional to 22,596.50, 31,184.31 and 13,032.83 is: 17,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596.50 : 31,184.31 = 13,032.83 : x
  2. Step 2: Convert to fraction form
    22,596.50/31,184.31 = 13,032.83/x
  3. Step 3: Cross multiply
    22,596.50x = 31,184.31 × 13,032.83
  4. Step 4: Simplify right side
    22,596.50x = 406,419,654.98
  5. Step 5: Solve for x
    x = 406,419,654.98/22,596.50
  6. Step 6: Final answer
    x = 17,985.96

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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.