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Finding the Fourth Proportional to 14,169.25, 21,254.64 and 4,307.78

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Solution

The fourth proportional to 14,169.25, 21,254.64 and 4,307.78 is: 6,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,169.25 : 21,254.64 = 4,307.78 : x
  2. Step 2: Convert to fraction form
    14,169.25/21,254.64 = 4,307.78/x
  3. Step 3: Cross multiply
    14,169.25x = 21,254.64 × 4,307.78
  4. Step 4: Simplify right side
    14,169.25x = 91,560,185.29
  5. Step 5: Solve for x
    x = 91,560,185.29/14,169.25
  6. Step 6: Final answer
    x = 6,461.90

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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.