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Finding the Fourth Proportional to 14,143.21, 19,516.68 and 7,768.55

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Solution

The fourth proportional to 14,143.21, 19,516.68 and 7,768.55 is: 10,720.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,143.21 : 19,516.68 = 7,768.55 : x
  2. Step 2: Convert to fraction form
    14,143.21/19,516.68 = 7,768.55/x
  3. Step 3: Cross multiply
    14,143.21x = 19,516.68 × 7,768.55
  4. Step 4: Simplify right side
    14,143.21x = 151,616,353.21
  5. Step 5: Solve for x
    x = 151,616,353.21/14,143.21
  6. Step 6: Final answer
    x = 10,720.08

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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.