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Finding the Fourth Proportional to 14,516.43, 20,031.44 and 9,807.09

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Solution

The fourth proportional to 14,516.43, 20,031.44 and 9,807.09 is: 13,532.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,516.43 : 20,031.44 = 9,807.09 : x
  2. Step 2: Convert to fraction form
    14,516.43/20,031.44 = 9,807.09/x
  3. Step 3: Cross multiply
    14,516.43x = 20,031.44 × 9,807.09
  4. Step 4: Simplify right side
    14,516.43x = 196,450,085.87
  5. Step 5: Solve for x
    x = 196,450,085.87/14,516.43
  6. Step 6: Final answer
    x = 13,532.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.