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Finding the Fourth Proportional to 13,293.78, 19,926.48 and 7,049.88

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Solution

The fourth proportional to 13,293.78, 19,926.48 and 7,049.88 is: 10,567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,293.78 : 19,926.48 = 7,049.88 : x
  2. Step 2: Convert to fraction form
    13,293.78/19,926.48 = 7,049.88/x
  3. Step 3: Cross multiply
    13,293.78x = 19,926.48 × 7,049.88
  4. Step 4: Simplify right side
    13,293.78x = 140,479,292.82
  5. Step 5: Solve for x
    x = 140,479,292.82/13,293.78
  6. Step 6: Final answer
    x = 10,567.29

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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.