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Finding the Fourth Proportional to 21,186.34, 31,783.20 and 8,713.24

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Solution

The fourth proportional to 21,186.34, 31,783.20 and 8,713.24 is: 13,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,186.34 : 31,783.20 = 8,713.24 : x
  2. Step 2: Convert to fraction form
    21,186.34/31,783.20 = 8,713.24/x
  3. Step 3: Cross multiply
    21,186.34x = 31,783.20 × 8,713.24
  4. Step 4: Simplify right side
    21,186.34x = 276,934,649.57
  5. Step 5: Solve for x
    x = 276,934,649.57/21,186.34
  6. Step 6: Final answer
    x = 13,071.38

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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.