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Finding the Fourth Proportional to 14,216.32, 21,326.72 and 3,828.48

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Solution

The fourth proportional to 14,216.32, 21,326.72 and 3,828.48 is: 5,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.32 : 21,326.72 = 3,828.48 : x
  2. Step 2: Convert to fraction form
    14,216.32/21,326.72 = 3,828.48/x
  3. Step 3: Cross multiply
    14,216.32x = 21,326.72 × 3,828.48
  4. Step 4: Simplify right side
    14,216.32x = 81,648,920.99
  5. Step 5: Solve for x
    x = 81,648,920.99/14,216.32
  6. Step 6: Final answer
    x = 5,743.32

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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.