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Finding the Fourth Proportional to 19,226.50, 26,533.38 and 10,843

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Solution

The fourth proportional to 19,226.50, 26,533.38 and 10,843 is: 14,963.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,226.50 : 26,533.38 = 10,843 : x
  2. Step 2: Convert to fraction form
    19,226.50/26,533.38 = 10,843/x
  3. Step 3: Cross multiply
    19,226.50x = 26,533.38 × 10,843
  4. Step 4: Simplify right side
    19,226.50x = 287,701,439.34
  5. Step 5: Solve for x
    x = 287,701,439.34/19,226.50
  6. Step 6: Final answer
    x = 14,963.80

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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.