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Finding the Fourth Proportional to 20,835.30, 31,254.93 and 5,842.41

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Solution

The fourth proportional to 20,835.30, 31,254.93 and 5,842.41 is: 8,764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,835.30 : 31,254.93 = 5,842.41 : x
  2. Step 2: Convert to fraction form
    20,835.30/31,254.93 = 5,842.41/x
  3. Step 3: Cross multiply
    20,835.30x = 31,254.93 × 5,842.41
  4. Step 4: Simplify right side
    20,835.30x = 182,604,115.58
  5. Step 5: Solve for x
    x = 182,604,115.58/20,835.30
  6. Step 6: Final answer
    x = 8,764.17

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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.