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Finding the Fourth Proportional to 21,096.95, 31,654.13 and 9,244.58

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Solution

The fourth proportional to 21,096.95, 31,654.13 and 9,244.58 is: 13,870.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,096.95 : 31,654.13 = 9,244.58 : x
  2. Step 2: Convert to fraction form
    21,096.95/31,654.13 = 9,244.58/x
  3. Step 3: Cross multiply
    21,096.95x = 31,654.13 × 9,244.58
  4. Step 4: Simplify right side
    21,096.95x = 292,628,932.62
  5. Step 5: Solve for x
    x = 292,628,932.62/21,096.95
  6. Step 6: Final answer
    x = 13,870.68

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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.