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Finding the Fourth Proportional to 21,205.25, 31,807.88 and 6,613.25

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Solution

The fourth proportional to 21,205.25, 31,807.88 and 6,613.25 is: 9,919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.25 : 31,807.88 = 6,613.25 : x
  2. Step 2: Convert to fraction form
    21,205.25/31,807.88 = 6,613.25/x
  3. Step 3: Cross multiply
    21,205.25x = 31,807.88 × 6,613.25
  4. Step 4: Simplify right side
    21,205.25x = 210,353,429.34
  5. Step 5: Solve for x
    x = 210,353,429.34/21,205.25
  6. Step 6: Final answer
    x = 9,919.88

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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.