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Finding the Fourth Proportional to 13,016.64, 19,525.50 and 3,782.64

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Solution

The fourth proportional to 13,016.64, 19,525.50 and 3,782.64 is: 5,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.64 : 19,525.50 = 3,782.64 : x
  2. Step 2: Convert to fraction form
    13,016.64/19,525.50 = 3,782.64/x
  3. Step 3: Cross multiply
    13,016.64x = 19,525.50 × 3,782.64
  4. Step 4: Simplify right side
    13,016.64x = 73,857,937.32
  5. Step 5: Solve for x
    x = 73,857,937.32/13,016.64
  6. Step 6: Final answer
    x = 5,674.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.