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Finding the Fourth Proportional to 15,836, 23,757.84 and 4,892

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Solution

The fourth proportional to 15,836, 23,757.84 and 4,892 is: 7,339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,836 : 23,757.84 = 4,892 : x
  2. Step 2: Convert to fraction form
    15,836/23,757.84 = 4,892/x
  3. Step 3: Cross multiply
    15,836x = 23,757.84 × 4,892
  4. Step 4: Simplify right side
    15,836x = 116,223,353.28
  5. Step 5: Solve for x
    x = 116,223,353.28/15,836
  6. Step 6: Final answer
    x = 7,339.19

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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.