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Finding the Fourth Proportional to 20,925.70, 31,361.86 and 9,807.89

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Solution

The fourth proportional to 20,925.70, 31,361.86 and 9,807.89 is: 14,699.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,925.70 : 31,361.86 = 9,807.89 : x
  2. Step 2: Convert to fraction form
    20,925.70/31,361.86 = 9,807.89/x
  3. Step 3: Cross multiply
    20,925.70x = 31,361.86 × 9,807.89
  4. Step 4: Simplify right side
    20,925.70x = 307,593,765.56
  5. Step 5: Solve for x
    x = 307,593,765.56/20,925.70
  6. Step 6: Final answer
    x = 14,699.33

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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.