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Finding the Fourth Proportional to 12,827.34, 19,241.13 and 4,062.30

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Solution

The fourth proportional to 12,827.34, 19,241.13 and 4,062.30 is: 6,093.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.34 : 19,241.13 = 4,062.30 : x
  2. Step 2: Convert to fraction form
    12,827.34/19,241.13 = 4,062.30/x
  3. Step 3: Cross multiply
    12,827.34x = 19,241.13 × 4,062.30
  4. Step 4: Simplify right side
    12,827.34x = 78,163,242.40
  5. Step 5: Solve for x
    x = 78,163,242.40/12,827.34
  6. Step 6: Final answer
    x = 6,093.49

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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.