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Finding the Fourth Proportional to 13,863.98, 19,152.53 and 11,997.74

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Solution

The fourth proportional to 13,863.98, 19,152.53 and 11,997.74 is: 16,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.98 : 19,152.53 = 11,997.74 : x
  2. Step 2: Convert to fraction form
    13,863.98/19,152.53 = 11,997.74/x
  3. Step 3: Cross multiply
    13,863.98x = 19,152.53 × 11,997.74
  4. Step 4: Simplify right side
    13,863.98x = 229,787,075.28
  5. Step 5: Solve for x
    x = 229,787,075.28/13,863.98
  6. Step 6: Final answer
    x = 16,574.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.