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Finding the Fourth Proportional to 17,457, 24,090.66 and 10,005

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Solution

The fourth proportional to 17,457, 24,090.66 and 10,005 is: 13,806.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,457 : 24,090.66 = 10,005 : x
  2. Step 2: Convert to fraction form
    17,457/24,090.66 = 10,005/x
  3. Step 3: Cross multiply
    17,457x = 24,090.66 × 10,005
  4. Step 4: Simplify right side
    17,457x = 241,027,053.30
  5. Step 5: Solve for x
    x = 241,027,053.30/17,457
  6. Step 6: Final answer
    x = 13,806.90

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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.