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Finding the Fourth Proportional to 13,181.81, 19,773.59 and 4,416.80

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Solution

The fourth proportional to 13,181.81, 19,773.59 and 4,416.80 is: 6,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.81 : 19,773.59 = 4,416.80 : x
  2. Step 2: Convert to fraction form
    13,181.81/19,773.59 = 4,416.80/x
  3. Step 3: Cross multiply
    13,181.81x = 19,773.59 × 4,416.80
  4. Step 4: Simplify right side
    13,181.81x = 87,335,871.36
  5. Step 5: Solve for x
    x = 87,335,871.36/13,181.81
  6. Step 6: Final answer
    x = 6,625.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.