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Finding the Fourth Proportional to 17,831.97, 24,633.74 and 14,242.21

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Solution

The fourth proportional to 17,831.97, 24,633.74 and 14,242.21 is: 19,674.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,831.97 : 24,633.74 = 14,242.21 : x
  2. Step 2: Convert to fraction form
    17,831.97/24,633.74 = 14,242.21/x
  3. Step 3: Cross multiply
    17,831.97x = 24,633.74 × 14,242.21
  4. Step 4: Simplify right side
    17,831.97x = 350,838,964.56
  5. Step 5: Solve for x
    x = 350,838,964.56/17,831.97
  6. Step 6: Final answer
    x = 19,674.72

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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.