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Finding the Fourth Proportional to 13,430.53, 18,534.46 and 7,380.72

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Solution

The fourth proportional to 13,430.53, 18,534.46 and 7,380.72 is: 10,185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.53 : 18,534.46 = 7,380.72 : x
  2. Step 2: Convert to fraction form
    13,430.53/18,534.46 = 7,380.72/x
  3. Step 3: Cross multiply
    13,430.53x = 18,534.46 × 7,380.72
  4. Step 4: Simplify right side
    13,430.53x = 136,797,659.61
  5. Step 5: Solve for x
    x = 136,797,659.61/13,430.53
  6. Step 6: Final answer
    x = 10,185.57

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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.