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Finding the Fourth Proportional to 21,157.58, 31,740.82 and 8,009.66

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Solution

The fourth proportional to 21,157.58, 31,740.82 and 8,009.66 is: 12,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,157.58 : 31,740.82 = 8,009.66 : x
  2. Step 2: Convert to fraction form
    21,157.58/31,740.82 = 8,009.66/x
  3. Step 3: Cross multiply
    21,157.58x = 31,740.82 × 8,009.66
  4. Step 4: Simplify right side
    21,157.58x = 254,233,176.32
  5. Step 5: Solve for x
    x = 254,233,176.32/21,157.58
  6. Step 6: Final answer
    x = 12,016.17

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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.