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Finding the Fourth Proportional to 14,428.53, 21,633.75 and 5,653.26

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Solution

The fourth proportional to 14,428.53, 21,633.75 and 5,653.26 is: 8,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428.53 : 21,633.75 = 5,653.26 : x
  2. Step 2: Convert to fraction form
    14,428.53/21,633.75 = 5,653.26/x
  3. Step 3: Cross multiply
    14,428.53x = 21,633.75 × 5,653.26
  4. Step 4: Simplify right side
    14,428.53x = 122,301,213.53
  5. Step 5: Solve for x
    x = 122,301,213.53/14,428.53
  6. Step 6: Final answer
    x = 8,476.35

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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.