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Finding the Fourth Proportional to 30,426.80, 41,988.56 and 16,998.28

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Solution

The fourth proportional to 30,426.80, 41,988.56 and 16,998.28 is: 23,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,426.80 : 41,988.56 = 16,998.28 : x
  2. Step 2: Convert to fraction form
    30,426.80/41,988.56 = 16,998.28/x
  3. Step 3: Cross multiply
    30,426.80x = 41,988.56 × 16,998.28
  4. Step 4: Simplify right side
    30,426.80x = 713,733,299.68
  5. Step 5: Solve for x
    x = 713,733,299.68/30,426.80
  6. Step 6: Final answer
    x = 23,457.39

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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.