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Finding the Fourth Proportional to 24,852, 34,295.76 and 14,916

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Solution

The fourth proportional to 24,852, 34,295.76 and 14,916 is: 20,584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,852 : 34,295.76 = 14,916 : x
  2. Step 2: Convert to fraction form
    24,852/34,295.76 = 14,916/x
  3. Step 3: Cross multiply
    24,852x = 34,295.76 × 14,916
  4. Step 4: Simplify right side
    24,852x = 511,555,556.16
  5. Step 5: Solve for x
    x = 511,555,556.16/24,852
  6. Step 6: Final answer
    x = 20,584.08

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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.