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Finding the Fourth Proportional to 21,407.69, 32,111.30 and 8,250.83

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Solution

The fourth proportional to 21,407.69, 32,111.30 and 8,250.83 is: 12,376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.69 : 32,111.30 = 8,250.83 : x
  2. Step 2: Convert to fraction form
    21,407.69/32,111.30 = 8,250.83/x
  3. Step 3: Cross multiply
    21,407.69x = 32,111.30 × 8,250.83
  4. Step 4: Simplify right side
    21,407.69x = 264,944,836.12
  5. Step 5: Solve for x
    x = 264,944,836.12/21,407.69
  6. Step 6: Final answer
    x = 12,376.15

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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.