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Finding the Fourth Proportional to 17,153.13, 23,676 and 10,081.83

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Solution

The fourth proportional to 17,153.13, 23,676 and 10,081.83 is: 13,915.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,153.13 : 23,676 = 10,081.83 : x
  2. Step 2: Convert to fraction form
    17,153.13/23,676 = 10,081.83/x
  3. Step 3: Cross multiply
    17,153.13x = 23,676 × 10,081.83
  4. Step 4: Simplify right side
    17,153.13x = 238,697,407.08
  5. Step 5: Solve for x
    x = 238,697,407.08/17,153.13
  6. Step 6: Final answer
    x = 13,915.68

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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.