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Finding the Fourth Proportional to 16,823.88, 25,224.78 and 9,429.12

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Solution

The fourth proportional to 16,823.88, 25,224.78 and 9,429.12 is: 14,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.88 : 25,224.78 = 9,429.12 : x
  2. Step 2: Convert to fraction form
    16,823.88/25,224.78 = 9,429.12/x
  3. Step 3: Cross multiply
    16,823.88x = 25,224.78 × 9,429.12
  4. Step 4: Simplify right side
    16,823.88x = 237,847,477.59
  5. Step 5: Solve for x
    x = 237,847,477.59/16,823.88
  6. Step 6: Final answer
    x = 14,137.49

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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.