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Finding the Fourth Proportional to 13,114.83, 19,658.34 and 8,944.50

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Solution

The fourth proportional to 13,114.83, 19,658.34 and 8,944.50 is: 13,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.83 : 19,658.34 = 8,944.50 : x
  2. Step 2: Convert to fraction form
    13,114.83/19,658.34 = 8,944.50/x
  3. Step 3: Cross multiply
    13,114.83x = 19,658.34 × 8,944.50
  4. Step 4: Simplify right side
    13,114.83x = 175,834,022.13
  5. Step 5: Solve for x
    x = 175,834,022.13/13,114.83
  6. Step 6: Final answer
    x = 13,407.27

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