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Finding the Fourth Proportional to 21,254.66, 31,854.09 and 11,894.30

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Solution

The fourth proportional to 21,254.66, 31,854.09 and 11,894.30 is: 17,825.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,254.66 : 31,854.09 = 11,894.30 : x
  2. Step 2: Convert to fraction form
    21,254.66/31,854.09 = 11,894.30/x
  3. Step 3: Cross multiply
    21,254.66x = 31,854.09 × 11,894.30
  4. Step 4: Simplify right side
    21,254.66x = 378,882,102.69
  5. Step 5: Solve for x
    x = 378,882,102.69/21,254.66
  6. Step 6: Final answer
    x = 17,825.84

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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.