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Finding the Fourth Proportional to 23,228.40, 32,057.97 and 13,797

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Solution

The fourth proportional to 23,228.40, 32,057.97 and 13,797 is: 19,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,228.40 : 32,057.97 = 13,797 : x
  2. Step 2: Convert to fraction form
    23,228.40/32,057.97 = 13,797/x
  3. Step 3: Cross multiply
    23,228.40x = 32,057.97 × 13,797
  4. Step 4: Simplify right side
    23,228.40x = 442,303,812.09
  5. Step 5: Solve for x
    x = 442,303,812.09/23,228.40
  6. Step 6: Final answer
    x = 19,041.51

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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.