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Finding the Fourth Proportional to 13,049.01, 19,573.65 and 5,256

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Solution

The fourth proportional to 13,049.01, 19,573.65 and 5,256 is: 7,884.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,049.01 : 19,573.65 = 5,256 : x
  2. Step 2: Convert to fraction form
    13,049.01/19,573.65 = 5,256/x
  3. Step 3: Cross multiply
    13,049.01x = 19,573.65 × 5,256
  4. Step 4: Simplify right side
    13,049.01x = 102,879,104.40
  5. Step 5: Solve for x
    x = 102,879,104.40/13,049.01
  6. Step 6: Final answer
    x = 7,884.05

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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.