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Finding the Fourth Proportional to 21,131.34, 31,695.12 and 6,343.56

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Solution

The fourth proportional to 21,131.34, 31,695.12 and 6,343.56 is: 9,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,131.34 : 31,695.12 = 6,343.56 : x
  2. Step 2: Convert to fraction form
    21,131.34/31,695.12 = 6,343.56/x
  3. Step 3: Cross multiply
    21,131.34x = 31,695.12 × 6,343.56
  4. Step 4: Simplify right side
    21,131.34x = 201,059,895.43
  5. Step 5: Solve for x
    x = 201,059,895.43/21,131.34
  6. Step 6: Final answer
    x = 9,514.77

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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.