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Finding the Fourth Proportional to 21,003.24, 31,507.29 and 6,964.50

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Solution

The fourth proportional to 21,003.24, 31,507.29 and 6,964.50 is: 10,447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,003.24 : 31,507.29 = 6,964.50 : x
  2. Step 2: Convert to fraction form
    21,003.24/31,507.29 = 6,964.50/x
  3. Step 3: Cross multiply
    21,003.24x = 31,507.29 × 6,964.50
  4. Step 4: Simplify right side
    21,003.24x = 219,432,521.21
  5. Step 5: Solve for x
    x = 219,432,521.21/21,003.24
  6. Step 6: Final answer
    x = 10,447.56

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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.