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Finding the Fourth Proportional to 16,392, 24,548.94 and 9,451.92

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Solution

The fourth proportional to 16,392, 24,548.94 and 9,451.92 is: 14,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,392 : 24,548.94 = 9,451.92 : x
  2. Step 2: Convert to fraction form
    16,392/24,548.94 = 9,451.92/x
  3. Step 3: Cross multiply
    16,392x = 24,548.94 × 9,451.92
  4. Step 4: Simplify right side
    16,392x = 232,034,616.96
  5. Step 5: Solve for x
    x = 232,034,616.96/16,392
  6. Step 6: Final answer
    x = 14,155.36

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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.