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Finding the Fourth Proportional to 21,341.58, 31,990.50 and 8,190.42

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Solution

The fourth proportional to 21,341.58, 31,990.50 and 8,190.42 is: 12,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,341.58 : 31,990.50 = 8,190.42 : x
  2. Step 2: Convert to fraction form
    21,341.58/31,990.50 = 8,190.42/x
  3. Step 3: Cross multiply
    21,341.58x = 31,990.50 × 8,190.42
  4. Step 4: Simplify right side
    21,341.58x = 262,015,631.01
  5. Step 5: Solve for x
    x = 262,015,631.01/21,341.58
  6. Step 6: Final answer
    x = 12,277.24

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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.