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Finding the Fourth Proportional to 21,316.47, 31,974.77 and 7,462.23

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Solution

The fourth proportional to 21,316.47, 31,974.77 and 7,462.23 is: 11,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,316.47 : 31,974.77 = 7,462.23 : x
  2. Step 2: Convert to fraction form
    21,316.47/31,974.77 = 7,462.23/x
  3. Step 3: Cross multiply
    21,316.47x = 31,974.77 × 7,462.23
  4. Step 4: Simplify right side
    21,316.47x = 238,603,050.63
  5. Step 5: Solve for x
    x = 238,603,050.63/21,316.47
  6. Step 6: Final answer
    x = 11,193.37

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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.