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Finding the Fourth Proportional to 17,045.12, 23,522.02 and 9,876

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Solution

The fourth proportional to 17,045.12, 23,522.02 and 9,876 is: 13,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,045.12 : 23,522.02 = 9,876 : x
  2. Step 2: Convert to fraction form
    17,045.12/23,522.02 = 9,876/x
  3. Step 3: Cross multiply
    17,045.12x = 23,522.02 × 9,876
  4. Step 4: Simplify right side
    17,045.12x = 232,303,469.52
  5. Step 5: Solve for x
    x = 232,303,469.52/17,045.12
  6. Step 6: Final answer
    x = 13,628.74

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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.