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Finding the Fourth Proportional to 20,262.63, 30,391.82 and 9,586.43

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Solution

The fourth proportional to 20,262.63, 30,391.82 and 9,586.43 is: 14,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,262.63 : 30,391.82 = 9,586.43 : x
  2. Step 2: Convert to fraction form
    20,262.63/30,391.82 = 9,586.43/x
  3. Step 3: Cross multiply
    20,262.63x = 30,391.82 × 9,586.43
  4. Step 4: Simplify right side
    20,262.63x = 291,349,055.00
  5. Step 5: Solve for x
    x = 291,349,055.00/20,262.63
  6. Step 6: Final answer
    x = 14,378.64

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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.