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Finding the Fourth Proportional to 21,089.04, 31,644.60 and 13,691.76

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Solution

The fourth proportional to 21,089.04, 31,644.60 and 13,691.76 is: 20,544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,089.04 : 31,644.60 = 13,691.76 : x
  2. Step 2: Convert to fraction form
    21,089.04/31,644.60 = 13,691.76/x
  3. Step 3: Cross multiply
    21,089.04x = 31,644.60 × 13,691.76
  4. Step 4: Simplify right side
    21,089.04x = 433,270,268.50
  5. Step 5: Solve for x
    x = 433,270,268.50/21,089.04
  6. Step 6: Final answer
    x = 20,544.81

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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.