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Finding the Fourth Proportional to 15,834, 23,754.84 and 4,890

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Solution

The fourth proportional to 15,834, 23,754.84 and 4,890 is: 7,336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,834 : 23,754.84 = 4,890 : x
  2. Step 2: Convert to fraction form
    15,834/23,754.84 = 4,890/x
  3. Step 3: Cross multiply
    15,834x = 23,754.84 × 4,890
  4. Step 4: Simplify right side
    15,834x = 116,161,167.60
  5. Step 5: Solve for x
    x = 116,161,167.60/15,834
  6. Step 6: Final answer
    x = 7,336.19

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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.