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Finding the Fourth Proportional to 15,316.96, 22,976.70 and 6,551.96

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Solution

The fourth proportional to 15,316.96, 22,976.70 and 6,551.96 is: 9,828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,316.96 : 22,976.70 = 6,551.96 : x
  2. Step 2: Convert to fraction form
    15,316.96/22,976.70 = 6,551.96/x
  3. Step 3: Cross multiply
    15,316.96x = 22,976.70 × 6,551.96
  4. Step 4: Simplify right side
    15,316.96x = 150,542,419.33
  5. Step 5: Solve for x
    x = 150,542,419.33/15,316.96
  6. Step 6: Final answer
    x = 9,828.48

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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.