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Finding the Fourth Proportional to 19,773, 29,656.26 and 13,911.84

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Solution

The fourth proportional to 19,773, 29,656.26 and 13,911.84 is: 20,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,773 : 29,656.26 = 13,911.84 : x
  2. Step 2: Convert to fraction form
    19,773/29,656.26 = 13,911.84/x
  3. Step 3: Cross multiply
    19,773x = 29,656.26 × 13,911.84
  4. Step 4: Simplify right side
    19,773x = 412,573,144.12
  5. Step 5: Solve for x
    x = 412,573,144.12/19,773
  6. Step 6: Final answer
    x = 20,865.48

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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.