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Finding the Fourth Proportional to 17,002.88, 23,457.25 and 9,831.48

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Solution

The fourth proportional to 17,002.88, 23,457.25 and 9,831.48 is: 13,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002.88 : 23,457.25 = 9,831.48 : x
  2. Step 2: Convert to fraction form
    17,002.88/23,457.25 = 9,831.48/x
  3. Step 3: Cross multiply
    17,002.88x = 23,457.25 × 9,831.48
  4. Step 4: Simplify right side
    17,002.88x = 230,619,353.25
  5. Step 5: Solve for x
    x = 230,619,353.25/17,002.88
  6. Step 6: Final answer
    x = 13,563.55

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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.