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Finding the Fourth Proportional to 14,204.64, 21,307.02 and 3,816.36

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Solution

The fourth proportional to 14,204.64, 21,307.02 and 3,816.36 is: 5,724.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,204.64 : 21,307.02 = 3,816.36 : x
  2. Step 2: Convert to fraction form
    14,204.64/21,307.02 = 3,816.36/x
  3. Step 3: Cross multiply
    14,204.64x = 21,307.02 × 3,816.36
  4. Step 4: Simplify right side
    14,204.64x = 81,315,258.85
  5. Step 5: Solve for x
    x = 81,315,258.85/14,204.64
  6. Step 6: Final answer
    x = 5,724.56

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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.