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Finding the Fourth Proportional to 24,852, 34,295.84 and 13,674.08

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Solution

The fourth proportional to 24,852, 34,295.84 and 13,674.08 is: 18,870.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,852 : 34,295.84 = 13,674.08 : x
  2. Step 2: Convert to fraction form
    24,852/34,295.84 = 13,674.08/x
  3. Step 3: Cross multiply
    24,852x = 34,295.84 × 13,674.08
  4. Step 4: Simplify right side
    24,852x = 468,964,059.83
  5. Step 5: Solve for x
    x = 468,964,059.83/24,852
  6. Step 6: Final answer
    x = 18,870.27

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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.