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Finding the Fourth Proportional to 20,953.50, 28,909.35 and 13,883.82

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Solution

The fourth proportional to 20,953.50, 28,909.35 and 13,883.82 is: 19,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,953.50 : 28,909.35 = 13,883.82 : x
  2. Step 2: Convert to fraction form
    20,953.50/28,909.35 = 13,883.82/x
  3. Step 3: Cross multiply
    20,953.50x = 28,909.35 × 13,883.82
  4. Step 4: Simplify right side
    20,953.50x = 401,372,211.72
  5. Step 5: Solve for x
    x = 401,372,211.72/20,953.50
  6. Step 6: Final answer
    x = 19,155.38

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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.