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Finding the Fourth Proportional to 14,369.76, 19,830.15 and 8,082

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Solution

The fourth proportional to 14,369.76, 19,830.15 and 8,082 is: 11,153.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,369.76 : 19,830.15 = 8,082 : x
  2. Step 2: Convert to fraction form
    14,369.76/19,830.15 = 8,082/x
  3. Step 3: Cross multiply
    14,369.76x = 19,830.15 × 8,082
  4. Step 4: Simplify right side
    14,369.76x = 160,267,272.30
  5. Step 5: Solve for x
    x = 160,267,272.30/14,369.76
  6. Step 6: Final answer
    x = 11,153.09

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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.