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Finding the Fourth Proportional to 17,524.12, 26,257.02 and 7,648.60

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Solution

The fourth proportional to 17,524.12, 26,257.02 and 7,648.60 is: 11,460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.12 : 26,257.02 = 7,648.60 : x
  2. Step 2: Convert to fraction form
    17,524.12/26,257.02 = 7,648.60/x
  3. Step 3: Cross multiply
    17,524.12x = 26,257.02 × 7,648.60
  4. Step 4: Simplify right side
    17,524.12x = 200,829,443.17
  5. Step 5: Solve for x
    x = 200,829,443.17/17,524.12
  6. Step 6: Final answer
    x = 11,460.17

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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.