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Finding the Fourth Proportional to 19,824.28, 29,736 and 4,831.48

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Solution

The fourth proportional to 19,824.28, 29,736 and 4,831.48 is: 7,247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824.28 : 29,736 = 4,831.48 : x
  2. Step 2: Convert to fraction form
    19,824.28/29,736 = 4,831.48/x
  3. Step 3: Cross multiply
    19,824.28x = 29,736 × 4,831.48
  4. Step 4: Simplify right side
    19,824.28x = 143,668,814.94
  5. Step 5: Solve for x
    x = 143,668,814.94/19,824.28
  6. Step 6: Final answer
    x = 7,247.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.