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Finding the Fourth Proportional to 23,905, 35,870.46 and 11,593

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Solution

The fourth proportional to 23,905, 35,870.46 and 11,593 is: 17,395.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,905 : 35,870.46 = 11,593 : x
  2. Step 2: Convert to fraction form
    23,905/35,870.46 = 11,593/x
  3. Step 3: Cross multiply
    23,905x = 35,870.46 × 11,593
  4. Step 4: Simplify right side
    23,905x = 415,846,242.78
  5. Step 5: Solve for x
    x = 415,846,242.78/23,905
  6. Step 6: Final answer
    x = 17,395.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.