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Finding the Fourth Proportional to 22,775.98, 31,431.64 and 13,215.15

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Solution

The fourth proportional to 22,775.98, 31,431.64 and 13,215.15 is: 18,237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,775.98 : 31,431.64 = 13,215.15 : x
  2. Step 2: Convert to fraction form
    22,775.98/31,431.64 = 13,215.15/x
  3. Step 3: Cross multiply
    22,775.98x = 31,431.64 × 13,215.15
  4. Step 4: Simplify right side
    22,775.98x = 415,373,837.35
  5. Step 5: Solve for x
    x = 415,373,837.35/22,775.98
  6. Step 6: Final answer
    x = 18,237.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.