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Finding the Fourth Proportional to 21,013.84, 28,999.02 and 11,582.20

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Solution

The fourth proportional to 21,013.84, 28,999.02 and 11,582.20 is: 15,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,013.84 : 28,999.02 = 11,582.20 : x
  2. Step 2: Convert to fraction form
    21,013.84/28,999.02 = 11,582.20/x
  3. Step 3: Cross multiply
    21,013.84x = 28,999.02 × 11,582.20
  4. Step 4: Simplify right side
    21,013.84x = 335,872,449.44
  5. Step 5: Solve for x
    x = 335,872,449.44/21,013.84
  6. Step 6: Final answer
    x = 15,983.39

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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.