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Finding the Fourth Proportional to 30,969.72, 42,741.84 and 18,394.48

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Solution

The fourth proportional to 30,969.72, 42,741.84 and 18,394.48 is: 25,386.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.72 : 42,741.84 = 18,394.48 : x
  2. Step 2: Convert to fraction form
    30,969.72/42,741.84 = 18,394.48/x
  3. Step 3: Cross multiply
    30,969.72x = 42,741.84 × 18,394.48
  4. Step 4: Simplify right side
    30,969.72x = 786,213,921.04
  5. Step 5: Solve for x
    x = 786,213,921.04/30,969.72
  6. Step 6: Final answer
    x = 25,386.54

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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.