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Finding the Fourth Proportional to 20,716.25, 31,087.16 and 9,030.38

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Solution

The fourth proportional to 20,716.25, 31,087.16 and 9,030.38 is: 13,551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,716.25 : 31,087.16 = 9,030.38 : x
  2. Step 2: Convert to fraction form
    20,716.25/31,087.16 = 9,030.38/x
  3. Step 3: Cross multiply
    20,716.25x = 31,087.16 × 9,030.38
  4. Step 4: Simplify right side
    20,716.25x = 280,728,822.77
  5. Step 5: Solve for x
    x = 280,728,822.77/20,716.25
  6. Step 6: Final answer
    x = 13,551.14

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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.