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Finding the Fourth Proportional to 21,022.24, 31,526.88 and 7,168

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Solution

The fourth proportional to 21,022.24, 31,526.88 and 7,168 is: 10,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,022.24 : 31,526.88 = 7,168 : x
  2. Step 2: Convert to fraction form
    21,022.24/31,526.88 = 7,168/x
  3. Step 3: Cross multiply
    21,022.24x = 31,526.88 × 7,168
  4. Step 4: Simplify right side
    21,022.24x = 225,984,675.84
  5. Step 5: Solve for x
    x = 225,984,675.84/21,022.24
  6. Step 6: Final answer
    x = 10,749.79

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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.