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Finding the Fourth Proportional to 17,647.84, 24,354.10 and 10,094.25

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Solution

The fourth proportional to 17,647.84, 24,354.10 and 10,094.25 is: 13,930.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.84 : 24,354.10 = 10,094.25 : x
  2. Step 2: Convert to fraction form
    17,647.84/24,354.10 = 10,094.25/x
  3. Step 3: Cross multiply
    17,647.84x = 24,354.10 × 10,094.25
  4. Step 4: Simplify right side
    17,647.84x = 245,836,477.87
  5. Step 5: Solve for x
    x = 245,836,477.87/17,647.84
  6. Step 6: Final answer
    x = 13,930.12

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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.