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Finding the Fourth Proportional to 21,782.28, 30,048.46 and 14,233.02

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Solution

The fourth proportional to 21,782.28, 30,048.46 and 14,233.02 is: 19,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.28 : 30,048.46 = 14,233.02 : x
  2. Step 2: Convert to fraction form
    21,782.28/30,048.46 = 14,233.02/x
  3. Step 3: Cross multiply
    21,782.28x = 30,048.46 × 14,233.02
  4. Step 4: Simplify right side
    21,782.28x = 427,680,332.15
  5. Step 5: Solve for x
    x = 427,680,332.15/21,782.28
  6. Step 6: Final answer
    x = 19,634.32

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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.