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Finding the Fourth Proportional to 29,429.63, 40,612.03 and 16,684

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Solution

The fourth proportional to 29,429.63, 40,612.03 and 16,684 is: 23,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,429.63 : 40,612.03 = 16,684 : x
  2. Step 2: Convert to fraction form
    29,429.63/40,612.03 = 16,684/x
  3. Step 3: Cross multiply
    29,429.63x = 40,612.03 × 16,684
  4. Step 4: Simplify right side
    29,429.63x = 677,571,108.52
  5. Step 5: Solve for x
    x = 677,571,108.52/29,429.63
  6. Step 6: Final answer
    x = 23,023.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.