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Finding the Fourth Proportional to 14,428.42, 21,653.97 and 7,408.15

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Solution

The fourth proportional to 14,428.42, 21,653.97 and 7,408.15 is: 11,118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428.42 : 21,653.97 = 7,408.15 : x
  2. Step 2: Convert to fraction form
    14,428.42/21,653.97 = 7,408.15/x
  3. Step 3: Cross multiply
    14,428.42x = 21,653.97 × 7,408.15
  4. Step 4: Simplify right side
    14,428.42x = 160,415,857.86
  5. Step 5: Solve for x
    x = 160,415,857.86/14,428.42
  6. Step 6: Final answer
    x = 11,118.05

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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.