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Finding the Fourth Proportional to 30,971.23, 42,740.25 and 16,824.10

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Solution

The fourth proportional to 30,971.23, 42,740.25 and 16,824.10 is: 23,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.23 : 42,740.25 = 16,824.10 : x
  2. Step 2: Convert to fraction form
    30,971.23/42,740.25 = 16,824.10/x
  3. Step 3: Cross multiply
    30,971.23x = 42,740.25 × 16,824.10
  4. Step 4: Simplify right side
    30,971.23x = 719,066,240.03
  5. Step 5: Solve for x
    x = 719,066,240.03/30,971.23
  6. Step 6: Final answer
    x = 23,217.23

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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.