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Finding the Fourth Proportional to 14,408.19, 19,882.71 and 8,034.44

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Solution

The fourth proportional to 14,408.19, 19,882.71 and 8,034.44 is: 11,087.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.19 : 19,882.71 = 8,034.44 : x
  2. Step 2: Convert to fraction form
    14,408.19/19,882.71 = 8,034.44/x
  3. Step 3: Cross multiply
    14,408.19x = 19,882.71 × 8,034.44
  4. Step 4: Simplify right side
    14,408.19x = 159,746,341.12
  5. Step 5: Solve for x
    x = 159,746,341.12/14,408.19
  6. Step 6: Final answer
    x = 11,087.19

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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.