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Finding the Fourth Proportional to 21,015.50, 29,001.58 and 11,584.40

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Solution

The fourth proportional to 21,015.50, 29,001.58 and 11,584.40 is: 15,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,015.50 : 29,001.58 = 11,584.40 : x
  2. Step 2: Convert to fraction form
    21,015.50/29,001.58 = 11,584.40/x
  3. Step 3: Cross multiply
    21,015.50x = 29,001.58 × 11,584.40
  4. Step 4: Simplify right side
    21,015.50x = 335,965,729.38
  5. Step 5: Solve for x
    x = 335,965,729.38/21,015.50
  6. Step 6: Final answer
    x = 15,986.57

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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.