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Finding the Fourth Proportional to 16,433, 24,616.92 and 7,655.84

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Solution

The fourth proportional to 16,433, 24,616.92 and 7,655.84 is: 11,468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433 : 24,616.92 = 7,655.84 : x
  2. Step 2: Convert to fraction form
    16,433/24,616.92 = 7,655.84/x
  3. Step 3: Cross multiply
    16,433x = 24,616.92 × 7,655.84
  4. Step 4: Simplify right side
    16,433x = 188,463,200.81
  5. Step 5: Solve for x
    x = 188,463,200.81/16,433
  6. Step 6: Final answer
    x = 11,468.58

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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.