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Finding the Fourth Proportional to 14,477.76, 21,716.42 and 4,616.97

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Solution

The fourth proportional to 14,477.76, 21,716.42 and 4,616.97 is: 6,925.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477.76 : 21,716.42 = 4,616.97 : x
  2. Step 2: Convert to fraction form
    14,477.76/21,716.42 = 4,616.97/x
  3. Step 3: Cross multiply
    14,477.76x = 21,716.42 × 4,616.97
  4. Step 4: Simplify right side
    14,477.76x = 100,264,144.85
  5. Step 5: Solve for x
    x = 100,264,144.85/14,477.76
  6. Step 6: Final answer
    x = 6,925.39

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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.