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Finding the Fourth Proportional to 21,164.54, 31,718.95 and 11,808.96

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Solution

The fourth proportional to 21,164.54, 31,718.95 and 11,808.96 is: 17,697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,164.54 : 31,718.95 = 11,808.96 : x
  2. Step 2: Convert to fraction form
    21,164.54/31,718.95 = 11,808.96/x
  3. Step 3: Cross multiply
    21,164.54x = 31,718.95 × 11,808.96
  4. Step 4: Simplify right side
    21,164.54x = 374,567,594.15
  5. Step 5: Solve for x
    x = 374,567,594.15/21,164.54
  6. Step 6: Final answer
    x = 17,697.89

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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.