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Finding the Fourth Proportional to 14,146.90, 19,523.09 and 8,482.57

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Solution

The fourth proportional to 14,146.90, 19,523.09 and 8,482.57 is: 11,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146.90 : 19,523.09 = 8,482.57 : x
  2. Step 2: Convert to fraction form
    14,146.90/19,523.09 = 8,482.57/x
  3. Step 3: Cross multiply
    14,146.90x = 19,523.09 × 8,482.57
  4. Step 4: Simplify right side
    14,146.90x = 165,605,977.54
  5. Step 5: Solve for x
    x = 165,605,977.54/14,146.90
  6. Step 6: Final answer
    x = 11,706.17

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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.