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Finding the Fourth Proportional to 13,705.20, 18,914.28 and 7,738.32

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Solution

The fourth proportional to 13,705.20, 18,914.28 and 7,738.32 is: 10,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.20 : 18,914.28 = 7,738.32 : x
  2. Step 2: Convert to fraction form
    13,705.20/18,914.28 = 7,738.32/x
  3. Step 3: Cross multiply
    13,705.20x = 18,914.28 × 7,738.32
  4. Step 4: Simplify right side
    13,705.20x = 146,364,751.21
  5. Step 5: Solve for x
    x = 146,364,751.21/13,705.20
  6. Step 6: Final answer
    x = 10,679.50

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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.