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Finding the Fourth Proportional to 14,908.50, 22,362.62 and 3,815.15

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Solution

The fourth proportional to 14,908.50, 22,362.62 and 3,815.15 is: 5,722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,908.50 : 22,362.62 = 3,815.15 : x
  2. Step 2: Convert to fraction form
    14,908.50/22,362.62 = 3,815.15/x
  3. Step 3: Cross multiply
    14,908.50x = 22,362.62 × 3,815.15
  4. Step 4: Simplify right side
    14,908.50x = 85,316,749.69
  5. Step 5: Solve for x
    x = 85,316,749.69/14,908.50
  6. Step 6: Final answer
    x = 5,722.69

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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.