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Finding the Fourth Proportional to 12,736, 19,106.72 and 4,944.80

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Solution

The fourth proportional to 12,736, 19,106.72 and 4,944.80 is: 7,418.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,736 : 19,106.72 = 4,944.80 : x
  2. Step 2: Convert to fraction form
    12,736/19,106.72 = 4,944.80/x
  3. Step 3: Cross multiply
    12,736x = 19,106.72 × 4,944.80
  4. Step 4: Simplify right side
    12,736x = 94,478,909.06
  5. Step 5: Solve for x
    x = 94,478,909.06/12,736
  6. Step 6: Final answer
    x = 7,418.26

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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.