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Finding the Fourth Proportional to 13,091.68, 19,638.88 and 4,203.90

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Solution

The fourth proportional to 13,091.68, 19,638.88 and 4,203.90 is: 6,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091.68 : 19,638.88 = 4,203.90 : x
  2. Step 2: Convert to fraction form
    13,091.68/19,638.88 = 4,203.90/x
  3. Step 3: Cross multiply
    13,091.68x = 19,638.88 × 4,203.90
  4. Step 4: Simplify right side
    13,091.68x = 82,559,887.63
  5. Step 5: Solve for x
    x = 82,559,887.63/13,091.68
  6. Step 6: Final answer
    x = 6,306.29

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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.