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Finding the Fourth Proportional to 14,045.82, 19,375.11 and 9,077.82

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Solution

The fourth proportional to 14,045.82, 19,375.11 and 9,077.82 is: 12,522.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,045.82 : 19,375.11 = 9,077.82 : x
  2. Step 2: Convert to fraction form
    14,045.82/19,375.11 = 9,077.82/x
  3. Step 3: Cross multiply
    14,045.82x = 19,375.11 × 9,077.82
  4. Step 4: Simplify right side
    14,045.82x = 175,883,761.06
  5. Step 5: Solve for x
    x = 175,883,761.06/14,045.82
  6. Step 6: Final answer
    x = 12,522.14

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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.