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Finding the Fourth Proportional to 14,478.25, 21,717.42 and 3,534.25

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Solution

The fourth proportional to 14,478.25, 21,717.42 and 3,534.25 is: 5,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.25 : 21,717.42 = 3,534.25 : x
  2. Step 2: Convert to fraction form
    14,478.25/21,717.42 = 3,534.25/x
  3. Step 3: Cross multiply
    14,478.25x = 21,717.42 × 3,534.25
  4. Step 4: Simplify right side
    14,478.25x = 76,754,791.64
  5. Step 5: Solve for x
    x = 76,754,791.64/14,478.25
  6. Step 6: Final answer
    x = 5,301.39

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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.