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Finding the Fourth Proportional to 21,284.46, 31,931.86 and 6,493.64

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Solution

The fourth proportional to 21,284.46, 31,931.86 and 6,493.64 is: 9,742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,284.46 : 31,931.86 = 6,493.64 : x
  2. Step 2: Convert to fraction form
    21,284.46/31,931.86 = 6,493.64/x
  3. Step 3: Cross multiply
    21,284.46x = 31,931.86 × 6,493.64
  4. Step 4: Simplify right side
    21,284.46x = 207,354,003.37
  5. Step 5: Solve for x
    x = 207,354,003.37/21,284.46
  6. Step 6: Final answer
    x = 9,742.04

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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.