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Finding the Fourth Proportional to 13,376.88, 18,459.55 and 7,408.19

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Solution

The fourth proportional to 13,376.88, 18,459.55 and 7,408.19 is: 10,222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376.88 : 18,459.55 = 7,408.19 : x
  2. Step 2: Convert to fraction form
    13,376.88/18,459.55 = 7,408.19/x
  3. Step 3: Cross multiply
    13,376.88x = 18,459.55 × 7,408.19
  4. Step 4: Simplify right side
    13,376.88x = 136,751,724.38
  5. Step 5: Solve for x
    x = 136,751,724.38/13,376.88
  6. Step 6: Final answer
    x = 10,222.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.