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Finding the Fourth Proportional to 24,852.25, 34,296.11 and 13,674.25

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Solution

The fourth proportional to 24,852.25, 34,296.11 and 13,674.25 is: 18,870.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,852.25 : 34,296.11 = 13,674.25 : x
  2. Step 2: Convert to fraction form
    24,852.25/34,296.11 = 13,674.25/x
  3. Step 3: Cross multiply
    24,852.25x = 34,296.11 × 13,674.25
  4. Step 4: Simplify right side
    24,852.25x = 468,973,513.80
  5. Step 5: Solve for x
    x = 468,973,513.80/24,852.25
  6. Step 6: Final answer
    x = 18,870.47

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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.