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Finding the Fourth Proportional to 13,102.35, 19,650.48 and 3,742.12

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Solution

The fourth proportional to 13,102.35, 19,650.48 and 3,742.12 is: 5,612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.35 : 19,650.48 = 3,742.12 : x
  2. Step 2: Convert to fraction form
    13,102.35/19,650.48 = 3,742.12/x
  3. Step 3: Cross multiply
    13,102.35x = 19,650.48 × 3,742.12
  4. Step 4: Simplify right side
    13,102.35x = 73,534,454.22
  5. Step 5: Solve for x
    x = 73,534,454.22/13,102.35
  6. Step 6: Final answer
    x = 5,612.31

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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.