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Finding the Fourth Proportional to 15,908.50, 23,858.16 and 4,812.58

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Solution

The fourth proportional to 15,908.50, 23,858.16 and 4,812.58 is: 7,217.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,908.50 : 23,858.16 = 4,812.58 : x
  2. Step 2: Convert to fraction form
    15,908.50/23,858.16 = 4,812.58/x
  3. Step 3: Cross multiply
    15,908.50x = 23,858.16 × 4,812.58
  4. Step 4: Simplify right side
    15,908.50x = 114,819,303.65
  5. Step 5: Solve for x
    x = 114,819,303.65/15,908.50
  6. Step 6: Final answer
    x = 7,217.48

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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.