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Finding the Fourth Proportional to 14,322.16, 19,768.94 and 9,286.68

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Solution

The fourth proportional to 14,322.16, 19,768.94 and 9,286.68 is: 12,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322.16 : 19,768.94 = 9,286.68 : x
  2. Step 2: Convert to fraction form
    14,322.16/19,768.94 = 9,286.68/x
  3. Step 3: Cross multiply
    14,322.16x = 19,768.94 × 9,286.68
  4. Step 4: Simplify right side
    14,322.16x = 183,587,819.72
  5. Step 5: Solve for x
    x = 183,587,819.72/14,322.16
  6. Step 6: Final answer
    x = 12,818.44

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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.