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Finding the Fourth Proportional to 13,549.72, 18,698.02 and 7,883.64

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Solution

The fourth proportional to 13,549.72, 18,698.02 and 7,883.64 is: 10,879.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,549.72 : 18,698.02 = 7,883.64 : x
  2. Step 2: Convert to fraction form
    13,549.72/18,698.02 = 7,883.64/x
  3. Step 3: Cross multiply
    13,549.72x = 18,698.02 × 7,883.64
  4. Step 4: Simplify right side
    13,549.72x = 147,408,458.39
  5. Step 5: Solve for x
    x = 147,408,458.39/13,549.72
  6. Step 6: Final answer
    x = 10,879.08

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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.