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Finding the Fourth Proportional to 13,843, 19,103.55 and 7,555.39

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Solution

The fourth proportional to 13,843, 19,103.55 and 7,555.39 is: 10,426.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843 : 19,103.55 = 7,555.39 : x
  2. Step 2: Convert to fraction form
    13,843/19,103.55 = 7,555.39/x
  3. Step 3: Cross multiply
    13,843x = 19,103.55 × 7,555.39
  4. Step 4: Simplify right side
    13,843x = 144,334,770.63
  5. Step 5: Solve for x
    x = 144,334,770.63/13,843
  6. Step 6: Final answer
    x = 10,426.55

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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.