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Finding the Fourth Proportional to 13,139.16, 19,723.26 and 13,090.44

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Solution

The fourth proportional to 13,139.16, 19,723.26 and 13,090.44 is: 19,650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,139.16 : 19,723.26 = 13,090.44 : x
  2. Step 2: Convert to fraction form
    13,139.16/19,723.26 = 13,090.44/x
  3. Step 3: Cross multiply
    13,139.16x = 19,723.26 × 13,090.44
  4. Step 4: Simplify right side
    13,139.16x = 258,186,151.63
  5. Step 5: Solve for x
    x = 258,186,151.63/13,139.16
  6. Step 6: Final answer
    x = 19,650.13

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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.