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Finding the Fourth Proportional to 13,498.08, 18,621 and 8,780.64

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Solution

The fourth proportional to 13,498.08, 18,621 and 8,780.64 is: 12,113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.08 : 18,621 = 8,780.64 : x
  2. Step 2: Convert to fraction form
    13,498.08/18,621 = 8,780.64/x
  3. Step 3: Cross multiply
    13,498.08x = 18,621 × 8,780.64
  4. Step 4: Simplify right side
    13,498.08x = 163,504,297.44
  5. Step 5: Solve for x
    x = 163,504,297.44/13,498.08
  6. Step 6: Final answer
    x = 12,113.15

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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.