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Finding the Fourth Proportional to 13,847.12, 19,102.04 and 9,129.68

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Solution

The fourth proportional to 13,847.12, 19,102.04 and 9,129.68 is: 12,594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.12 : 19,102.04 = 9,129.68 : x
  2. Step 2: Convert to fraction form
    13,847.12/19,102.04 = 9,129.68/x
  3. Step 3: Cross multiply
    13,847.12x = 19,102.04 × 9,129.68
  4. Step 4: Simplify right side
    13,847.12x = 174,395,512.55
  5. Step 5: Solve for x
    x = 174,395,512.55/13,847.12
  6. Step 6: Final answer
    x = 12,594.35

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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.