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Finding the Fourth Proportional to 14,408.66, 19,885.89 and 8,442.71

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Solution

The fourth proportional to 14,408.66, 19,885.89 and 8,442.71 is: 11,652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.66 : 19,885.89 = 8,442.71 : x
  2. Step 2: Convert to fraction form
    14,408.66/19,885.89 = 8,442.71/x
  3. Step 3: Cross multiply
    14,408.66x = 19,885.89 × 8,442.71
  4. Step 4: Simplify right side
    14,408.66x = 167,890,809.16
  5. Step 5: Solve for x
    x = 167,890,809.16/14,408.66
  6. Step 6: Final answer
    x = 11,652.07

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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.