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Finding the Fourth Proportional to 20,901.39, 31,362.34 and 9,808.98

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Solution

The fourth proportional to 20,901.39, 31,362.34 and 9,808.98 is: 14,718.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,901.39 : 31,362.34 = 9,808.98 : x
  2. Step 2: Convert to fraction form
    20,901.39/31,362.34 = 9,808.98/x
  3. Step 3: Cross multiply
    20,901.39x = 31,362.34 × 9,808.98
  4. Step 4: Simplify right side
    20,901.39x = 307,632,618.49
  5. Step 5: Solve for x
    x = 307,632,618.49/20,901.39
  6. Step 6: Final answer
    x = 14,718.28

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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.