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Finding the Fourth Proportional to 15,918.10, 23,840.78 and 7,604.00

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Solution

The fourth proportional to 15,918.10, 23,840.78 and 7,604.00 is: 11,388.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,918.10 : 23,840.78 = 7,604.00 : x
  2. Step 2: Convert to fraction form
    15,918.10/23,840.78 = 7,604.00/x
  3. Step 3: Cross multiply
    15,918.10x = 23,840.78 × 7,604.00
  4. Step 4: Simplify right side
    15,918.10x = 181,285,190.93
  5. Step 5: Solve for x
    x = 181,285,190.93/15,918.10
  6. Step 6: Final answer
    x = 11,388.62

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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.