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Finding the Fourth Proportional to 21,015.23, 31,536.50 and 7,867.49

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Solution

The fourth proportional to 21,015.23, 31,536.50 and 7,867.49 is: 11,806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,015.23 : 31,536.50 = 7,867.49 : x
  2. Step 2: Convert to fraction form
    21,015.23/31,536.50 = 7,867.49/x
  3. Step 3: Cross multiply
    21,015.23x = 31,536.50 × 7,867.49
  4. Step 4: Simplify right side
    21,015.23x = 248,112,901.37
  5. Step 5: Solve for x
    x = 248,112,901.37/21,015.23
  6. Step 6: Final answer
    x = 11,806.34

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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.