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Finding the Fourth Proportional to 15,825.70, 23,717.78 and 11,646.14

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Solution

The fourth proportional to 15,825.70, 23,717.78 and 11,646.14 is: 17,453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.70 : 23,717.78 = 11,646.14 : x
  2. Step 2: Convert to fraction form
    15,825.70/23,717.78 = 11,646.14/x
  3. Step 3: Cross multiply
    15,825.70x = 23,717.78 × 11,646.14
  4. Step 4: Simplify right side
    15,825.70x = 276,220,586.37
  5. Step 5: Solve for x
    x = 276,220,586.37/15,825.70
  6. Step 6: Final answer
    x = 17,453.93

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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.