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Finding the Fourth Proportional to 21,028.24, 31,546.14 and 7,174

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Solution

The fourth proportional to 21,028.24, 31,546.14 and 7,174 is: 10,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,028.24 : 31,546.14 = 7,174 : x
  2. Step 2: Convert to fraction form
    21,028.24/31,546.14 = 7,174/x
  3. Step 3: Cross multiply
    21,028.24x = 31,546.14 × 7,174
  4. Step 4: Simplify right side
    21,028.24x = 226,312,008.36
  5. Step 5: Solve for x
    x = 226,312,008.36/21,028.24
  6. Step 6: Final answer
    x = 10,762.29

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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.