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Finding the Fourth Proportional to 13,509.13, 18,642.00 and 7,540.66

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Solution

The fourth proportional to 13,509.13, 18,642.00 and 7,540.66 is: 10,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.13 : 18,642.00 = 7,540.66 : x
  2. Step 2: Convert to fraction form
    13,509.13/18,642.00 = 7,540.66/x
  3. Step 3: Cross multiply
    13,509.13x = 18,642.00 × 7,540.66
  4. Step 4: Simplify right side
    13,509.13x = 140,572,992.88
  5. Step 5: Solve for x
    x = 140,572,992.88/13,509.13
  6. Step 6: Final answer
    x = 10,405.78

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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.