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Finding the Fourth Proportional to 21,015.28, 29,001 and 11,584

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Solution

The fourth proportional to 21,015.28, 29,001 and 11,584 is: 15,985.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,015.28 : 29,001 = 11,584 : x
  2. Step 2: Convert to fraction form
    21,015.28/29,001 = 11,584/x
  3. Step 3: Cross multiply
    21,015.28x = 29,001 × 11,584
  4. Step 4: Simplify right side
    21,015.28x = 335,947,584
  5. Step 5: Solve for x
    x = 335,947,584/21,015.28
  6. Step 6: Final answer
    x = 15,985.87

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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.