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Finding the Fourth Proportional to 13,507.83, 18,641.74 and 7,540.66

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Solution

The fourth proportional to 13,507.83, 18,641.74 and 7,540.66 is: 10,406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.83 : 18,641.74 = 7,540.66 : x
  2. Step 2: Convert to fraction form
    13,507.83/18,641.74 = 7,540.66/x
  3. Step 3: Cross multiply
    13,507.83x = 18,641.74 × 7,540.66
  4. Step 4: Simplify right side
    13,507.83x = 140,571,023.15
  5. Step 5: Solve for x
    x = 140,571,023.15/13,507.83
  6. Step 6: Final answer
    x = 10,406.63

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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.