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Finding the Fourth Proportional to 13,771.98, 19,005.48 and 7,484.36

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Solution

The fourth proportional to 13,771.98, 19,005.48 and 7,484.36 is: 10,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.98 : 19,005.48 = 7,484.36 : x
  2. Step 2: Convert to fraction form
    13,771.98/19,005.48 = 7,484.36/x
  3. Step 3: Cross multiply
    13,771.98x = 19,005.48 × 7,484.36
  4. Step 4: Simplify right side
    13,771.98x = 142,243,759.27
  5. Step 5: Solve for x
    x = 142,243,759.27/13,771.98
  6. Step 6: Final answer
    x = 10,328.49

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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.