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Finding the Fourth Proportional to 24,906, 34,371 and 13,728.72

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Solution

The fourth proportional to 24,906, 34,371 and 13,728.72 is: 18,946.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,906 : 34,371 = 13,728.72 : x
  2. Step 2: Convert to fraction form
    24,906/34,371 = 13,728.72/x
  3. Step 3: Cross multiply
    24,906x = 34,371 × 13,728.72
  4. Step 4: Simplify right side
    24,906x = 471,869,835.12
  5. Step 5: Solve for x
    x = 471,869,835.12/24,906
  6. Step 6: Final answer
    x = 18,946.03

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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.