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Finding the Fourth Proportional to 13,771.40, 19,004.12 and 7,483.78

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Solution

The fourth proportional to 13,771.40, 19,004.12 and 7,483.78 is: 10,327.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.40 : 19,004.12 = 7,483.78 : x
  2. Step 2: Convert to fraction form
    13,771.40/19,004.12 = 7,483.78/x
  3. Step 3: Cross multiply
    13,771.40x = 19,004.12 × 7,483.78
  4. Step 4: Simplify right side
    13,771.40x = 142,222,653.17
  5. Step 5: Solve for x
    x = 142,222,653.17/13,771.40
  6. Step 6: Final answer
    x = 10,327.39

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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.