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Finding the Fourth Proportional to 14,017.25, 19,343.75 and 7,729.63

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Solution

The fourth proportional to 14,017.25, 19,343.75 and 7,729.63 is: 10,666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017.25 : 19,343.75 = 7,729.63 : x
  2. Step 2: Convert to fraction form
    14,017.25/19,343.75 = 7,729.63/x
  3. Step 3: Cross multiply
    14,017.25x = 19,343.75 × 7,729.63
  4. Step 4: Simplify right side
    14,017.25x = 149,519,943.30
  5. Step 5: Solve for x
    x = 149,519,943.30/14,017.25
  6. Step 6: Final answer
    x = 10,666.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.