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Finding the Fourth Proportional to 12,032.96, 18,047.75 and 3,713.22

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Solution

The fourth proportional to 12,032.96, 18,047.75 and 3,713.22 is: 5,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.96 : 18,047.75 = 3,713.22 : x
  2. Step 2: Convert to fraction form
    12,032.96/18,047.75 = 3,713.22/x
  3. Step 3: Cross multiply
    12,032.96x = 18,047.75 × 3,713.22
  4. Step 4: Simplify right side
    12,032.96x = 67,015,247.69
  5. Step 5: Solve for x
    x = 67,015,247.69/12,032.96
  6. Step 6: Final answer
    x = 5,569.31

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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.