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Finding the Fourth Proportional to 23,639.46, 32,616.81 and 13,428.24

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Solution

The fourth proportional to 23,639.46, 32,616.81 and 13,428.24 is: 18,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,639.46 : 32,616.81 = 13,428.24 : x
  2. Step 2: Convert to fraction form
    23,639.46/32,616.81 = 13,428.24/x
  3. Step 3: Cross multiply
    23,639.46x = 32,616.81 × 13,428.24
  4. Step 4: Simplify right side
    23,639.46x = 437,986,352.71
  5. Step 5: Solve for x
    x = 437,986,352.71/23,639.46
  6. Step 6: Final answer
    x = 18,527.76

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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.