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Finding the Fourth Proportional to 17,282.98, 23,851.05 and 9,831.46

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Solution

The fourth proportional to 17,282.98, 23,851.05 and 9,831.46 is: 13,567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282.98 : 23,851.05 = 9,831.46 : x
  2. Step 2: Convert to fraction form
    17,282.98/23,851.05 = 9,831.46/x
  3. Step 3: Cross multiply
    17,282.98x = 23,851.05 × 9,831.46
  4. Step 4: Simplify right side
    17,282.98x = 234,490,644.03
  5. Step 5: Solve for x
    x = 234,490,644.03/17,282.98
  6. Step 6: Final answer
    x = 13,567.72

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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.