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Finding the Fourth Proportional to 14,181.42, 19,569.15 and 7,894.38

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Solution

The fourth proportional to 14,181.42, 19,569.15 and 7,894.38 is: 10,893.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.42 : 19,569.15 = 7,894.38 : x
  2. Step 2: Convert to fraction form
    14,181.42/19,569.15 = 7,894.38/x
  3. Step 3: Cross multiply
    14,181.42x = 19,569.15 × 7,894.38
  4. Step 4: Simplify right side
    14,181.42x = 154,486,306.38
  5. Step 5: Solve for x
    x = 154,486,306.38/14,181.42
  6. Step 6: Final answer
    x = 10,893.57

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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.