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Finding the Fourth Proportional to 13,649.64, 18,829.14 and 9,120.12

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Solution

The fourth proportional to 13,649.64, 18,829.14 and 9,120.12 is: 12,580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.64 : 18,829.14 = 9,120.12 : x
  2. Step 2: Convert to fraction form
    13,649.64/18,829.14 = 9,120.12/x
  3. Step 3: Cross multiply
    13,649.64x = 18,829.14 × 9,120.12
  4. Step 4: Simplify right side
    13,649.64x = 171,724,016.30
  5. Step 5: Solve for x
    x = 171,724,016.30/13,649.64
  6. Step 6: Final answer
    x = 12,580.85

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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.