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Finding the Fourth Proportional to 14,356.90, 21,535.27 and 3,828.01

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Solution

The fourth proportional to 14,356.90, 21,535.27 and 3,828.01 is: 5,741.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,356.90 : 21,535.27 = 3,828.01 : x
  2. Step 2: Convert to fraction form
    14,356.90/21,535.27 = 3,828.01/x
  3. Step 3: Cross multiply
    14,356.90x = 21,535.27 × 3,828.01
  4. Step 4: Simplify right side
    14,356.90x = 82,437,205.88
  5. Step 5: Solve for x
    x = 82,437,205.88/14,356.90
  6. Step 6: Final answer
    x = 5,741.99

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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.