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Finding the Fourth Proportional to 16,705.34, 25,083.12 and 15,902.84

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Solution

The fourth proportional to 16,705.34, 25,083.12 and 15,902.84 is: 23,878.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.34 : 25,083.12 = 15,902.84 : x
  2. Step 2: Convert to fraction form
    16,705.34/25,083.12 = 15,902.84/x
  3. Step 3: Cross multiply
    16,705.34x = 25,083.12 × 15,902.84
  4. Step 4: Simplify right side
    16,705.34x = 398,892,844.06
  5. Step 5: Solve for x
    x = 398,892,844.06/16,705.34
  6. Step 6: Final answer
    x = 23,878.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.