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Finding the Fourth Proportional to 17,204.32, 23,740.60 and 9,649.64

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Solution

The fourth proportional to 17,204.32, 23,740.60 and 9,649.64 is: 13,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,204.32 : 23,740.60 = 9,649.64 : x
  2. Step 2: Convert to fraction form
    17,204.32/23,740.60 = 9,649.64/x
  3. Step 3: Cross multiply
    17,204.32x = 23,740.60 × 9,649.64
  4. Step 4: Simplify right side
    17,204.32x = 229,088,243.38
  5. Step 5: Solve for x
    x = 229,088,243.38/17,204.32
  6. Step 6: Final answer
    x = 13,315.74

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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.