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Finding the Fourth Proportional to 20,990.07, 31,498.95 and 7,842.45

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Solution

The fourth proportional to 20,990.07, 31,498.95 and 7,842.45 is: 11,768.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,990.07 : 31,498.95 = 7,842.45 : x
  2. Step 2: Convert to fraction form
    20,990.07/31,498.95 = 7,842.45/x
  3. Step 3: Cross multiply
    20,990.07x = 31,498.95 × 7,842.45
  4. Step 4: Simplify right side
    20,990.07x = 247,028,800.13
  5. Step 5: Solve for x
    x = 247,028,800.13/20,990.07
  6. Step 6: Final answer
    x = 11,768.84

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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.