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Finding the Fourth Proportional to 21,308.34, 31,962.54 and 6,517.20

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Solution

The fourth proportional to 21,308.34, 31,962.54 and 6,517.20 is: 9,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,308.34 : 31,962.54 = 6,517.20 : x
  2. Step 2: Convert to fraction form
    21,308.34/31,962.54 = 6,517.20/x
  3. Step 3: Cross multiply
    21,308.34x = 31,962.54 × 6,517.20
  4. Step 4: Simplify right side
    21,308.34x = 208,306,265.69
  5. Step 5: Solve for x
    x = 208,306,265.69/21,308.34
  6. Step 6: Final answer
    x = 9,775.81

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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.