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Finding the Fourth Proportional to 14,369.64, 19,829.89 and 8,082.02

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Solution

The fourth proportional to 14,369.64, 19,829.89 and 8,082.02 is: 11,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,369.64 : 19,829.89 = 8,082.02 : x
  2. Step 2: Convert to fraction form
    14,369.64/19,829.89 = 8,082.02/x
  3. Step 3: Cross multiply
    14,369.64x = 19,829.89 × 8,082.02
  4. Step 4: Simplify right side
    14,369.64x = 160,265,567.58
  5. Step 5: Solve for x
    x = 160,265,567.58/14,369.64
  6. Step 6: Final answer
    x = 11,153.07

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Why These Related Problems?

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