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Finding the Fourth Proportional to 14,104.95, 19,463.46 and 8,438.55

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Solution

The fourth proportional to 14,104.95, 19,463.46 and 8,438.55 is: 11,644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,104.95 : 19,463.46 = 8,438.55 : x
  2. Step 2: Convert to fraction form
    14,104.95/19,463.46 = 8,438.55/x
  3. Step 3: Cross multiply
    14,104.95x = 19,463.46 × 8,438.55
  4. Step 4: Simplify right side
    14,104.95x = 164,243,380.38
  5. Step 5: Solve for x
    x = 164,243,380.38/14,104.95
  6. Step 6: Final answer
    x = 11,644.38

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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.