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Finding the Fourth Proportional to 23,745, 32,767.46 and 13,537.88

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Solution

The fourth proportional to 23,745, 32,767.46 and 13,537.88 is: 18,681.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,745 : 32,767.46 = 13,537.88 : x
  2. Step 2: Convert to fraction form
    23,745/32,767.46 = 13,537.88/x
  3. Step 3: Cross multiply
    23,745x = 32,767.46 × 13,537.88
  4. Step 4: Simplify right side
    23,745x = 443,601,941.38
  5. Step 5: Solve for x
    x = 443,601,941.38/23,745
  6. Step 6: Final answer
    x = 18,681.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.