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Finding the Fourth Proportional to 20,926.33, 31,362.78 and 9,808.51

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Solution

The fourth proportional to 20,926.33, 31,362.78 and 9,808.51 is: 14,700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,926.33 : 31,362.78 = 9,808.51 : x
  2. Step 2: Convert to fraction form
    20,926.33/31,362.78 = 9,808.51/x
  3. Step 3: Cross multiply
    20,926.33x = 31,362.78 × 9,808.51
  4. Step 4: Simplify right side
    20,926.33x = 307,622,141.26
  5. Step 5: Solve for x
    x = 307,622,141.26/20,926.33
  6. Step 6: Final answer
    x = 14,700.24

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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.