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Finding the Fourth Proportional to 14,408.34, 19,888.47 and 8,441.94

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Solution

The fourth proportional to 14,408.34, 19,888.47 and 8,441.94 is: 11,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.34 : 19,888.47 = 8,441.94 : x
  2. Step 2: Convert to fraction form
    14,408.34/19,888.47 = 8,441.94/x
  3. Step 3: Cross multiply
    14,408.34x = 19,888.47 × 8,441.94
  4. Step 4: Simplify right side
    14,408.34x = 167,897,270.43
  5. Step 5: Solve for x
    x = 167,897,270.43/14,408.34
  6. Step 6: Final answer
    x = 11,652.78

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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.