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Finding the Fourth Proportional to 14,336.64, 19,783.44 and 8,047.80

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Solution

The fourth proportional to 14,336.64, 19,783.44 and 8,047.80 is: 11,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,336.64 : 19,783.44 = 8,047.80 : x
  2. Step 2: Convert to fraction form
    14,336.64/19,783.44 = 8,047.80/x
  3. Step 3: Cross multiply
    14,336.64x = 19,783.44 × 8,047.80
  4. Step 4: Simplify right side
    14,336.64x = 159,213,168.43
  5. Step 5: Solve for x
    x = 159,213,168.43/14,336.64
  6. Step 6: Final answer
    x = 11,105.33

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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.