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Finding the Fourth Proportional to 13,510.40, 18,642.84 and 7,540.88

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Solution

The fourth proportional to 13,510.40, 18,642.84 and 7,540.88 is: 10,405.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.40 : 18,642.84 = 7,540.88 : x
  2. Step 2: Convert to fraction form
    13,510.40/18,642.84 = 7,540.88/x
  3. Step 3: Cross multiply
    13,510.40x = 18,642.84 × 7,540.88
  4. Step 4: Simplify right side
    13,510.40x = 140,583,419.30
  5. Step 5: Solve for x
    x = 140,583,419.30/13,510.40
  6. Step 6: Final answer
    x = 10,405.57

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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.