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Finding the Fourth Proportional to 14,504.36, 21,758.04 and 6,185.25

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Solution

The fourth proportional to 14,504.36, 21,758.04 and 6,185.25 is: 9,278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,504.36 : 21,758.04 = 6,185.25 : x
  2. Step 2: Convert to fraction form
    14,504.36/21,758.04 = 6,185.25/x
  3. Step 3: Cross multiply
    14,504.36x = 21,758.04 × 6,185.25
  4. Step 4: Simplify right side
    14,504.36x = 134,578,916.91
  5. Step 5: Solve for x
    x = 134,578,916.91/14,504.36
  6. Step 6: Final answer
    x = 9,278.52

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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.