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Finding the Fourth Proportional to 21,314.96, 31,967.96 and 5,732.72

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Solution

The fourth proportional to 21,314.96, 31,967.96 and 5,732.72 is: 8,597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314.96 : 31,967.96 = 5,732.72 : x
  2. Step 2: Convert to fraction form
    21,314.96/31,967.96 = 5,732.72/x
  3. Step 3: Cross multiply
    21,314.96x = 31,967.96 × 5,732.72
  4. Step 4: Simplify right side
    21,314.96x = 183,263,363.65
  5. Step 5: Solve for x
    x = 183,263,363.65/21,314.96
  6. Step 6: Final answer
    x = 8,597.88

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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.