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Finding the Fourth Proportional to 13,137.91, 19,710 and 3,777.73

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Solution

The fourth proportional to 13,137.91, 19,710 and 3,777.73 is: 5,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.91 : 19,710 = 3,777.73 : x
  2. Step 2: Convert to fraction form
    13,137.91/19,710 = 3,777.73/x
  3. Step 3: Cross multiply
    13,137.91x = 19,710 × 3,777.73
  4. Step 4: Simplify right side
    13,137.91x = 74,459,009.03
  5. Step 5: Solve for x
    x = 74,459,009.03/13,137.91
  6. Step 6: Final answer
    x = 5,667.49

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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.