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Finding the Fourth Proportional to 14,356.02, 21,534 and 3,826.04

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Solution

The fourth proportional to 14,356.02, 21,534 and 3,826.04 is: 5,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,356.02 : 21,534 = 3,826.04 : x
  2. Step 2: Convert to fraction form
    14,356.02/21,534 = 3,826.04/x
  3. Step 3: Cross multiply
    14,356.02x = 21,534 × 3,826.04
  4. Step 4: Simplify right side
    14,356.02x = 82,389,945.36
  5. Step 5: Solve for x
    x = 82,389,945.36/14,356.02
  6. Step 6: Final answer
    x = 5,739.05

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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.