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Finding the Fourth Proportional to 15,471.84, 23,207.67 and 5,083.50

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Solution

The fourth proportional to 15,471.84, 23,207.67 and 5,083.50 is: 7,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.84 : 23,207.67 = 5,083.50 : x
  2. Step 2: Convert to fraction form
    15,471.84/23,207.67 = 5,083.50/x
  3. Step 3: Cross multiply
    15,471.84x = 23,207.67 × 5,083.50
  4. Step 4: Simplify right side
    15,471.84x = 117,976,190.45
  5. Step 5: Solve for x
    x = 117,976,190.45/15,471.84
  6. Step 6: Final answer
    x = 7,625.22

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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.