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Finding the Fourth Proportional to 13,829.85, 19,085.28 and 7,542.21

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Solution

The fourth proportional to 13,829.85, 19,085.28 and 7,542.21 is: 10,408.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829.85 : 19,085.28 = 7,542.21 : x
  2. Step 2: Convert to fraction form
    13,829.85/19,085.28 = 7,542.21/x
  3. Step 3: Cross multiply
    13,829.85x = 19,085.28 × 7,542.21
  4. Step 4: Simplify right side
    13,829.85x = 143,945,189.67
  5. Step 5: Solve for x
    x = 143,945,189.67/13,829.85
  6. Step 6: Final answer
    x = 10,408.30

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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.