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Finding the Fourth Proportional to 14,341.42, 21,517.65 and 6,945.31

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Solution

The fourth proportional to 14,341.42, 21,517.65 and 6,945.31 is: 10,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,341.42 : 21,517.65 = 6,945.31 : x
  2. Step 2: Convert to fraction form
    14,341.42/21,517.65 = 6,945.31/x
  3. Step 3: Cross multiply
    14,341.42x = 21,517.65 × 6,945.31
  4. Step 4: Simplify right side
    14,341.42x = 149,446,749.72
  5. Step 5: Solve for x
    x = 149,446,749.72/14,341.42
  6. Step 6: Final answer
    x = 10,420.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.