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Finding the Fourth Proportional to 21,207.42, 31,783.73 and 8,713.04

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Solution

The fourth proportional to 21,207.42, 31,783.73 and 8,713.04 is: 13,058.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,207.42 : 31,783.73 = 8,713.04 : x
  2. Step 2: Convert to fraction form
    21,207.42/31,783.73 = 8,713.04/x
  3. Step 3: Cross multiply
    21,207.42x = 31,783.73 × 8,713.04
  4. Step 4: Simplify right side
    21,207.42x = 276,932,708.36
  5. Step 5: Solve for x
    x = 276,932,708.36/21,207.42
  6. Step 6: Final answer
    x = 13,058.29

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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.