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Finding the Fourth Proportional to 17,937, 24,753.06 and 10,485

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Solution

The fourth proportional to 17,937, 24,753.06 and 10,485 is: 14,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,937 : 24,753.06 = 10,485 : x
  2. Step 2: Convert to fraction form
    17,937/24,753.06 = 10,485/x
  3. Step 3: Cross multiply
    17,937x = 24,753.06 × 10,485
  4. Step 4: Simplify right side
    17,937x = 259,535,834.10
  5. Step 5: Solve for x
    x = 259,535,834.10/17,937
  6. Step 6: Final answer
    x = 14,469.30

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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.