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Finding the Fourth Proportional to 14,369.98, 19,830.38 and 8,082.35

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Solution

The fourth proportional to 14,369.98, 19,830.38 and 8,082.35 is: 11,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,369.98 : 19,830.38 = 8,082.35 : x
  2. Step 2: Convert to fraction form
    14,369.98/19,830.38 = 8,082.35/x
  3. Step 3: Cross multiply
    14,369.98x = 19,830.38 × 8,082.35
  4. Step 4: Simplify right side
    14,369.98x = 160,276,031.38
  5. Step 5: Solve for x
    x = 160,276,031.38/14,369.98
  6. Step 6: Final answer
    x = 11,153.54

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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.