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Finding the Fourth Proportional to 13,415.84, 18,507.42 and 9,439.14

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Solution

The fourth proportional to 13,415.84, 18,507.42 and 9,439.14 is: 13,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.84 : 18,507.42 = 9,439.14 : x
  2. Step 2: Convert to fraction form
    13,415.84/18,507.42 = 9,439.14/x
  3. Step 3: Cross multiply
    13,415.84x = 18,507.42 × 9,439.14
  4. Step 4: Simplify right side
    13,415.84x = 174,694,128.42
  5. Step 5: Solve for x
    x = 174,694,128.42/13,415.84
  6. Step 6: Final answer
    x = 13,021.49

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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.