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Finding the Fourth Proportional to 21,217.44, 31,829.04 and 7,364.64

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Solution

The fourth proportional to 21,217.44, 31,829.04 and 7,364.64 is: 11,047.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,217.44 : 31,829.04 = 7,364.64 : x
  2. Step 2: Convert to fraction form
    21,217.44/31,829.04 = 7,364.64/x
  3. Step 3: Cross multiply
    21,217.44x = 31,829.04 × 7,364.64
  4. Step 4: Simplify right side
    21,217.44x = 234,409,421.15
  5. Step 5: Solve for x
    x = 234,409,421.15/21,217.44
  6. Step 6: Final answer
    x = 11,047.96

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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.