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Finding the Fourth Proportional to 17,085, 23,577.48 and 9,633

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Solution

The fourth proportional to 17,085, 23,577.48 and 9,633 is: 13,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,085 : 23,577.48 = 9,633 : x
  2. Step 2: Convert to fraction form
    17,085/23,577.48 = 9,633/x
  3. Step 3: Cross multiply
    17,085x = 23,577.48 × 9,633
  4. Step 4: Simplify right side
    17,085x = 227,121,864.84
  5. Step 5: Solve for x
    x = 227,121,864.84/17,085
  6. Step 6: Final answer
    x = 13,293.64

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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.