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Finding the Fourth Proportional to 23,757, 32,784.24 and 13,685.40

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Solution

The fourth proportional to 23,757, 32,784.24 and 13,685.40 is: 18,885.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,757 : 32,784.24 = 13,685.40 : x
  2. Step 2: Convert to fraction form
    23,757/32,784.24 = 13,685.40/x
  3. Step 3: Cross multiply
    23,757x = 32,784.24 × 13,685.40
  4. Step 4: Simplify right side
    23,757x = 448,665,438.10
  5. Step 5: Solve for x
    x = 448,665,438.10/23,757
  6. Step 6: Final answer
    x = 18,885.61

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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.