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Finding the Fourth Proportional to 21,570.70, 29,771.69 and 13,077.45

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Solution

The fourth proportional to 21,570.70, 29,771.69 and 13,077.45 is: 18,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,570.70 : 29,771.69 = 13,077.45 : x
  2. Step 2: Convert to fraction form
    21,570.70/29,771.69 = 13,077.45/x
  3. Step 3: Cross multiply
    21,570.70x = 29,771.69 × 13,077.45
  4. Step 4: Simplify right side
    21,570.70x = 389,337,750.76
  5. Step 5: Solve for x
    x = 389,337,750.76/21,570.70
  6. Step 6: Final answer
    x = 18,049.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.