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Finding the Fourth Proportional to 17,459, 24,093.42 and 10,007

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Solution

The fourth proportional to 17,459, 24,093.42 and 10,007 is: 13,809.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,459 : 24,093.42 = 10,007 : x
  2. Step 2: Convert to fraction form
    17,459/24,093.42 = 10,007/x
  3. Step 3: Cross multiply
    17,459x = 24,093.42 × 10,007
  4. Step 4: Simplify right side
    17,459x = 241,102,853.94
  5. Step 5: Solve for x
    x = 241,102,853.94/17,459
  6. Step 6: Final answer
    x = 13,809.66

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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.