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Finding the Fourth Proportional to 15,349.22, 22,999.22 and 13,873

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Solution

The fourth proportional to 15,349.22, 22,999.22 and 13,873 is: 20,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,349.22 : 22,999.22 = 13,873 : x
  2. Step 2: Convert to fraction form
    15,349.22/22,999.22 = 13,873/x
  3. Step 3: Cross multiply
    15,349.22x = 22,999.22 × 13,873
  4. Step 4: Simplify right side
    15,349.22x = 319,068,179.06
  5. Step 5: Solve for x
    x = 319,068,179.06/15,349.22
  6. Step 6: Final answer
    x = 20,787.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.