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Finding the Fourth Proportional to 13,655.84, 18,841.13 and 9,408.04

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Solution

The fourth proportional to 13,655.84, 18,841.13 and 9,408.04 is: 12,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,655.84 : 18,841.13 = 9,408.04 : x
  2. Step 2: Convert to fraction form
    13,655.84/18,841.13 = 9,408.04/x
  3. Step 3: Cross multiply
    13,655.84x = 18,841.13 × 9,408.04
  4. Step 4: Simplify right side
    13,655.84x = 177,258,010.54
  5. Step 5: Solve for x
    x = 177,258,010.54/13,655.84
  6. Step 6: Final answer
    x = 12,980.39

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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.