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Finding the Fourth Proportional to 30,423.67, 41,984.40 and 16,811.66

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Solution

The fourth proportional to 30,423.67, 41,984.40 and 16,811.66 is: 23,199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,423.67 : 41,984.40 = 16,811.66 : x
  2. Step 2: Convert to fraction form
    30,423.67/41,984.40 = 16,811.66/x
  3. Step 3: Cross multiply
    30,423.67x = 41,984.40 × 16,811.66
  4. Step 4: Simplify right side
    30,423.67x = 705,827,458.10
  5. Step 5: Solve for x
    x = 705,827,458.10/30,423.67
  6. Step 6: Final answer
    x = 23,199.94

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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.