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Finding the Fourth Proportional to 19,256.16, 28,858.74 and 14,286.84

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Solution

The fourth proportional to 19,256.16, 28,858.74 and 14,286.84 is: 21,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,256.16 : 28,858.74 = 14,286.84 : x
  2. Step 2: Convert to fraction form
    19,256.16/28,858.74 = 14,286.84/x
  3. Step 3: Cross multiply
    19,256.16x = 28,858.74 × 14,286.84
  4. Step 4: Simplify right side
    19,256.16x = 412,300,200.98
  5. Step 5: Solve for x
    x = 412,300,200.98/19,256.16
  6. Step 6: Final answer
    x = 21,411.34

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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.