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Finding the Fourth Proportional to 13,817.76, 19,063.44 and 8,852.64

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Solution

The fourth proportional to 13,817.76, 19,063.44 and 8,852.64 is: 12,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.76 : 19,063.44 = 8,852.64 : x
  2. Step 2: Convert to fraction form
    13,817.76/19,063.44 = 8,852.64/x
  3. Step 3: Cross multiply
    13,817.76x = 19,063.44 × 8,852.64
  4. Step 4: Simplify right side
    13,817.76x = 168,761,771.48
  5. Step 5: Solve for x
    x = 168,761,771.48/13,817.76
  6. Step 6: Final answer
    x = 12,213.40

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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.