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Finding the Fourth Proportional to 21,212.41, 31,808.58 and 7,876.21

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Solution

The fourth proportional to 21,212.41, 31,808.58 and 7,876.21 is: 11,810.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,212.41 : 31,808.58 = 7,876.21 : x
  2. Step 2: Convert to fraction form
    21,212.41/31,808.58 = 7,876.21/x
  3. Step 3: Cross multiply
    21,212.41x = 31,808.58 × 7,876.21
  4. Step 4: Simplify right side
    21,212.41x = 250,531,055.88
  5. Step 5: Solve for x
    x = 250,531,055.88/21,212.41
  6. Step 6: Final answer
    x = 11,810.59

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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.