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Finding the Fourth Proportional to 14,696.42, 20,280.66 and 8,408.39

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Solution

The fourth proportional to 14,696.42, 20,280.66 and 8,408.39 is: 11,603.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.42 : 20,280.66 = 8,408.39 : x
  2. Step 2: Convert to fraction form
    14,696.42/20,280.66 = 8,408.39/x
  3. Step 3: Cross multiply
    14,696.42x = 20,280.66 × 8,408.39
  4. Step 4: Simplify right side
    14,696.42x = 170,527,698.74
  5. Step 5: Solve for x
    x = 170,527,698.74/14,696.42
  6. Step 6: Final answer
    x = 11,603.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.