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Finding the Fourth Proportional to 13,853.57, 20,782.17 and 5,094.63

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Solution

The fourth proportional to 13,853.57, 20,782.17 and 5,094.63 is: 7,642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.57 : 20,782.17 = 5,094.63 : x
  2. Step 2: Convert to fraction form
    13,853.57/20,782.17 = 5,094.63/x
  3. Step 3: Cross multiply
    13,853.57x = 20,782.17 × 5,094.63
  4. Step 4: Simplify right side
    13,853.57x = 105,877,466.75
  5. Step 5: Solve for x
    x = 105,877,466.75/13,853.57
  6. Step 6: Final answer
    x = 7,642.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.