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Finding the Fourth Proportional to 13,853.17, 20,775.35 and 4,490.99

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Solution

The fourth proportional to 13,853.17, 20,775.35 and 4,490.99 is: 6,735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.17 : 20,775.35 = 4,490.99 : x
  2. Step 2: Convert to fraction form
    13,853.17/20,775.35 = 4,490.99/x
  3. Step 3: Cross multiply
    13,853.17x = 20,775.35 × 4,490.99
  4. Step 4: Simplify right side
    13,853.17x = 93,301,889.10
  5. Step 5: Solve for x
    x = 93,301,889.10/13,853.17
  6. Step 6: Final answer
    x = 6,735.06

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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.