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Finding the Fourth Proportional to 15,876.49, 23,806.22 and 5,343

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Solution

The fourth proportional to 15,876.49, 23,806.22 and 5,343 is: 8,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876.49 : 23,806.22 = 5,343 : x
  2. Step 2: Convert to fraction form
    15,876.49/23,806.22 = 5,343/x
  3. Step 3: Cross multiply
    15,876.49x = 23,806.22 × 5,343
  4. Step 4: Simplify right side
    15,876.49x = 127,196,606.75
  5. Step 5: Solve for x
    x = 127,196,606.75/15,876.49
  6. Step 6: Final answer
    x = 8,011.64

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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.