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Finding the Fourth Proportional to 21,307.80, 31,964.10 and 6,516.60

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Solution

The fourth proportional to 21,307.80, 31,964.10 and 6,516.60 is: 9,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,307.80 : 31,964.10 = 6,516.60 : x
  2. Step 2: Convert to fraction form
    21,307.80/31,964.10 = 6,516.60/x
  3. Step 3: Cross multiply
    21,307.80x = 31,964.10 × 6,516.60
  4. Step 4: Simplify right side
    21,307.80x = 208,297,254.06
  5. Step 5: Solve for x
    x = 208,297,254.06/21,307.80
  6. Step 6: Final answer
    x = 9,775.63

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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.