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Finding the Fourth Proportional to 16,419, 24,636.96 and 9,029.28

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Solution

The fourth proportional to 16,419, 24,636.96 and 9,029.28 is: 13,548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419 : 24,636.96 = 9,029.28 : x
  2. Step 2: Convert to fraction form
    16,419/24,636.96 = 9,029.28/x
  3. Step 3: Cross multiply
    16,419x = 24,636.96 × 9,029.28
  4. Step 4: Simplify right side
    16,419x = 222,454,010.19
  5. Step 5: Solve for x
    x = 222,454,010.19/16,419
  6. Step 6: Final answer
    x = 13,548.57

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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.