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Finding the Fourth Proportional to 13,466.64, 18,578.72 and 8,428.80

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Solution

The fourth proportional to 13,466.64, 18,578.72 and 8,428.80 is: 11,628.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,466.64 : 18,578.72 = 8,428.80 : x
  2. Step 2: Convert to fraction form
    13,466.64/18,578.72 = 8,428.80/x
  3. Step 3: Cross multiply
    13,466.64x = 18,578.72 × 8,428.80
  4. Step 4: Simplify right side
    13,466.64x = 156,596,315.14
  5. Step 5: Solve for x
    x = 156,596,315.14/13,466.64
  6. Step 6: Final answer
    x = 11,628.46

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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.