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Finding the Fourth Proportional to 13,705.02, 18,912.96 and 7,417.44

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Solution

The fourth proportional to 13,705.02, 18,912.96 and 7,417.44 is: 10,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.02 : 18,912.96 = 7,417.44 : x
  2. Step 2: Convert to fraction form
    13,705.02/18,912.96 = 7,417.44/x
  3. Step 3: Cross multiply
    13,705.02x = 18,912.96 × 7,417.44
  4. Step 4: Simplify right side
    13,705.02x = 140,285,746.02
  5. Step 5: Solve for x
    x = 140,285,746.02/13,705.02
  6. Step 6: Final answer
    x = 10,236.08

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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.