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Finding the Fourth Proportional to 13,894.41, 20,843.78 and 4,658.25

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Solution

The fourth proportional to 13,894.41, 20,843.78 and 4,658.25 is: 6,988.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.41 : 20,843.78 = 4,658.25 : x
  2. Step 2: Convert to fraction form
    13,894.41/20,843.78 = 4,658.25/x
  3. Step 3: Cross multiply
    13,894.41x = 20,843.78 × 4,658.25
  4. Step 4: Simplify right side
    13,894.41x = 97,095,514.89
  5. Step 5: Solve for x
    x = 97,095,514.89/13,894.41
  6. Step 6: Final answer
    x = 6,988.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.