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Finding the Fourth Proportional to 16,980.69, 23,434.73 and 9,429.39

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Solution

The fourth proportional to 16,980.69, 23,434.73 and 9,429.39 is: 13,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,980.69 : 23,434.73 = 9,429.39 : x
  2. Step 2: Convert to fraction form
    16,980.69/23,434.73 = 9,429.39/x
  3. Step 3: Cross multiply
    16,980.69x = 23,434.73 × 9,429.39
  4. Step 4: Simplify right side
    16,980.69x = 220,975,144.28
  5. Step 5: Solve for x
    x = 220,975,144.28/16,980.69
  6. Step 6: Final answer
    x = 13,013.32

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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.