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Finding the Fourth Proportional to 17,455, 24,087.90 and 10,003

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Solution

The fourth proportional to 17,455, 24,087.90 and 10,003 is: 13,804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,455 : 24,087.90 = 10,003 : x
  2. Step 2: Convert to fraction form
    17,455/24,087.90 = 10,003/x
  3. Step 3: Cross multiply
    17,455x = 24,087.90 × 10,003
  4. Step 4: Simplify right side
    17,455x = 240,951,263.70
  5. Step 5: Solve for x
    x = 240,951,263.70/17,455
  6. Step 6: Final answer
    x = 13,804.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.