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Finding the Fourth Proportional to 15,930, 23,903.64 and 7,722

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Solution

The fourth proportional to 15,930, 23,903.64 and 7,722 is: 11,587.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930 : 23,903.64 = 7,722 : x
  2. Step 2: Convert to fraction form
    15,930/23,903.64 = 7,722/x
  3. Step 3: Cross multiply
    15,930x = 23,903.64 × 7,722
  4. Step 4: Simplify right side
    15,930x = 184,583,908.08
  5. Step 5: Solve for x
    x = 184,583,908.08/15,930
  6. Step 6: Final answer
    x = 11,587.19

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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.