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Finding the Fourth Proportional to 14,402.25, 21,604.59 and 4,014

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Solution

The fourth proportional to 14,402.25, 21,604.59 and 4,014 is: 6,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.25 : 21,604.59 = 4,014 : x
  2. Step 2: Convert to fraction form
    14,402.25/21,604.59 = 4,014/x
  3. Step 3: Cross multiply
    14,402.25x = 21,604.59 × 4,014
  4. Step 4: Simplify right side
    14,402.25x = 86,720,824.26
  5. Step 5: Solve for x
    x = 86,720,824.26/14,402.25
  6. Step 6: Final answer
    x = 6,021.34

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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.