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Finding the Fourth Proportional to 13,544, 18,698.40 and 10,226.24

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Solution

The fourth proportional to 13,544, 18,698.40 and 10,226.24 is: 14,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544 : 18,698.40 = 10,226.24 : x
  2. Step 2: Convert to fraction form
    13,544/18,698.40 = 10,226.24/x
  3. Step 3: Cross multiply
    13,544x = 18,698.40 × 10,226.24
  4. Step 4: Simplify right side
    13,544x = 191,214,326.02
  5. Step 5: Solve for x
    x = 191,214,326.02/13,544
  6. Step 6: Final answer
    x = 14,118.01

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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.