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Finding the Fourth Proportional to 21,283.76, 31,958.16 and 11,442.20

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Solution

The fourth proportional to 21,283.76, 31,958.16 and 11,442.20 is: 17,180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,283.76 : 31,958.16 = 11,442.20 : x
  2. Step 2: Convert to fraction form
    21,283.76/31,958.16 = 11,442.20/x
  3. Step 3: Cross multiply
    21,283.76x = 31,958.16 × 11,442.20
  4. Step 4: Simplify right side
    21,283.76x = 365,671,658.35
  5. Step 5: Solve for x
    x = 365,671,658.35/21,283.76
  6. Step 6: Final answer
    x = 17,180.78

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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.