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Finding the Fourth Proportional to 30,423.22, 41,984.14 and 16,810.97

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Solution

The fourth proportional to 30,423.22, 41,984.14 and 16,810.97 is: 23,199.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,423.22 : 41,984.14 = 16,810.97 : x
  2. Step 2: Convert to fraction form
    30,423.22/41,984.14 = 16,810.97/x
  3. Step 3: Cross multiply
    30,423.22x = 41,984.14 × 16,810.97
  4. Step 4: Simplify right side
    30,423.22x = 705,793,944.75
  5. Step 5: Solve for x
    x = 705,793,944.75/30,423.22
  6. Step 6: Final answer
    x = 23,199.19

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