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Finding the Fourth Proportional to 17,204.16, 23,740.92 and 9,649.56

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Solution

The fourth proportional to 17,204.16, 23,740.92 and 9,649.56 is: 13,315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,204.16 : 23,740.92 = 9,649.56 : x
  2. Step 2: Convert to fraction form
    17,204.16/23,740.92 = 9,649.56/x
  3. Step 3: Cross multiply
    17,204.16x = 23,740.92 × 9,649.56
  4. Step 4: Simplify right side
    17,204.16x = 229,089,432.00
  5. Step 5: Solve for x
    x = 229,089,432.00/17,204.16
  6. Step 6: Final answer
    x = 13,315.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.