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Finding the Fourth Proportional to 13,430.70, 18,534.36 and 7,380.90

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Solution

The fourth proportional to 13,430.70, 18,534.36 and 7,380.90 is: 10,185.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.70 : 18,534.36 = 7,380.90 : x
  2. Step 2: Convert to fraction form
    13,430.70/18,534.36 = 7,380.90/x
  3. Step 3: Cross multiply
    13,430.70x = 18,534.36 × 7,380.90
  4. Step 4: Simplify right side
    13,430.70x = 136,800,257.72
  5. Step 5: Solve for x
    x = 136,800,257.72/13,430.70
  6. Step 6: Final answer
    x = 10,185.64

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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.