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Finding the Fourth Proportional to 13,492.84, 18,609.60 and 8,778.64

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Solution

The fourth proportional to 13,492.84, 18,609.60 and 8,778.64 is: 12,107.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.84 : 18,609.60 = 8,778.64 : x
  2. Step 2: Convert to fraction form
    13,492.84/18,609.60 = 8,778.64/x
  3. Step 3: Cross multiply
    13,492.84x = 18,609.60 × 8,778.64
  4. Step 4: Simplify right side
    13,492.84x = 163,366,978.94
  5. Step 5: Solve for x
    x = 163,366,978.94/13,492.84
  6. Step 6: Final answer
    x = 12,107.68

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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.