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Finding the Fourth Proportional to 21,307.46, 31,965.84 and 6,517.53

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Solution

The fourth proportional to 21,307.46, 31,965.84 and 6,517.53 is: 9,777.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,307.46 : 31,965.84 = 6,517.53 : x
  2. Step 2: Convert to fraction form
    21,307.46/31,965.84 = 6,517.53/x
  3. Step 3: Cross multiply
    21,307.46x = 31,965.84 × 6,517.53
  4. Step 4: Simplify right side
    21,307.46x = 208,338,321.18
  5. Step 5: Solve for x
    x = 208,338,321.18/21,307.46
  6. Step 6: Final answer
    x = 9,777.72

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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.