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Finding the Fourth Proportional to 17,725.84, 24,461.94 and 9,768.04

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Solution

The fourth proportional to 17,725.84, 24,461.94 and 9,768.04 is: 13,480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,725.84 : 24,461.94 = 9,768.04 : x
  2. Step 2: Convert to fraction form
    17,725.84/24,461.94 = 9,768.04/x
  3. Step 3: Cross multiply
    17,725.84x = 24,461.94 × 9,768.04
  4. Step 4: Simplify right side
    17,725.84x = 238,945,208.40
  5. Step 5: Solve for x
    x = 238,945,208.40/17,725.84
  6. Step 6: Final answer
    x = 13,480.05

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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.