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Finding the Fourth Proportional to 14,736.74, 22,106.66 and 4,738.10

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Solution

The fourth proportional to 14,736.74, 22,106.66 and 4,738.10 is: 7,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,736.74 : 22,106.66 = 4,738.10 : x
  2. Step 2: Convert to fraction form
    14,736.74/22,106.66 = 4,738.10/x
  3. Step 3: Cross multiply
    14,736.74x = 22,106.66 × 4,738.10
  4. Step 4: Simplify right side
    14,736.74x = 104,743,431.52
  5. Step 5: Solve for x
    x = 104,743,431.52/14,736.74
  6. Step 6: Final answer
    x = 7,107.64

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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.