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Finding the Fourth Proportional to 20,998.47, 31,503.39 and 7,852.17

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Solution

The fourth proportional to 20,998.47, 31,503.39 and 7,852.17 is: 11,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.47 : 31,503.39 = 7,852.17 : x
  2. Step 2: Convert to fraction form
    20,998.47/31,503.39 = 7,852.17/x
  3. Step 3: Cross multiply
    20,998.47x = 31,503.39 × 7,852.17
  4. Step 4: Simplify right side
    20,998.47x = 247,369,973.86
  5. Step 5: Solve for x
    x = 247,369,973.86/20,998.47
  6. Step 6: Final answer
    x = 11,780.38

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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.