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Finding the Fourth Proportional to 12,674.16, 19,011.24 and 5,276.43

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Solution

The fourth proportional to 12,674.16, 19,011.24 and 5,276.43 is: 7,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.16 : 19,011.24 = 5,276.43 : x
  2. Step 2: Convert to fraction form
    12,674.16/19,011.24 = 5,276.43/x
  3. Step 3: Cross multiply
    12,674.16x = 19,011.24 × 5,276.43
  4. Step 4: Simplify right side
    12,674.16x = 100,311,477.07
  5. Step 5: Solve for x
    x = 100,311,477.07/12,674.16
  6. Step 6: Final answer
    x = 7,914.65

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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.