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Finding the Fourth Proportional to 13,849.84, 19,090.20 and 9,650.80

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Solution

The fourth proportional to 13,849.84, 19,090.20 and 9,650.80 is: 13,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,849.84 : 19,090.20 = 9,650.80 : x
  2. Step 2: Convert to fraction form
    13,849.84/19,090.20 = 9,650.80/x
  3. Step 3: Cross multiply
    13,849.84x = 19,090.20 × 9,650.80
  4. Step 4: Simplify right side
    13,849.84x = 184,235,702.16
  5. Step 5: Solve for x
    x = 184,235,702.16/13,849.84
  6. Step 6: Final answer
    x = 13,302.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.