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Finding the Fourth Proportional to 13,509.28, 18,642.48 and 7,540.60

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Solution

The fourth proportional to 13,509.28, 18,642.48 and 7,540.60 is: 10,405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.28 : 18,642.48 = 7,540.60 : x
  2. Step 2: Convert to fraction form
    13,509.28/18,642.48 = 7,540.60/x
  3. Step 3: Cross multiply
    13,509.28x = 18,642.48 × 7,540.60
  4. Step 4: Simplify right side
    13,509.28x = 140,575,484.69
  5. Step 5: Solve for x
    x = 140,575,484.69/13,509.28
  6. Step 6: Final answer
    x = 10,405.85

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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.