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Finding the Fourth Proportional to 17,046, 23,523.84 and 9,594

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Solution

The fourth proportional to 17,046, 23,523.84 and 9,594 is: 13,239.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,046 : 23,523.84 = 9,594 : x
  2. Step 2: Convert to fraction form
    17,046/23,523.84 = 9,594/x
  3. Step 3: Cross multiply
    17,046x = 23,523.84 × 9,594
  4. Step 4: Simplify right side
    17,046x = 225,687,720.96
  5. Step 5: Solve for x
    x = 225,687,720.96/17,046
  6. Step 6: Final answer
    x = 13,239.92

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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.