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Finding the Fourth Proportional to 21,181.74, 31,740.21 and 11,322.42

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Solution

The fourth proportional to 21,181.74, 31,740.21 and 11,322.42 is: 16,966.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,181.74 : 31,740.21 = 11,322.42 : x
  2. Step 2: Convert to fraction form
    21,181.74/31,740.21 = 11,322.42/x
  3. Step 3: Cross multiply
    21,181.74x = 31,740.21 × 11,322.42
  4. Step 4: Simplify right side
    21,181.74x = 359,375,988.51
  5. Step 5: Solve for x
    x = 359,375,988.51/21,181.74
  6. Step 6: Final answer
    x = 16,966.31

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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.