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Finding the Fourth Proportional to 20,669.84, 31,011.16 and 7,162.16

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Solution

The fourth proportional to 20,669.84, 31,011.16 and 7,162.16 is: 10,745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,669.84 : 31,011.16 = 7,162.16 : x
  2. Step 2: Convert to fraction form
    20,669.84/31,011.16 = 7,162.16/x
  3. Step 3: Cross multiply
    20,669.84x = 31,011.16 × 7,162.16
  4. Step 4: Simplify right side
    20,669.84x = 222,106,889.71
  5. Step 5: Solve for x
    x = 222,106,889.71/20,669.84
  6. Step 6: Final answer
    x = 10,745.46

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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.