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Finding the Fourth Proportional to 14,431.05, 21,648.85 and 6,111.11

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Solution

The fourth proportional to 14,431.05, 21,648.85 and 6,111.11 is: 9,167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.05 : 21,648.85 = 6,111.11 : x
  2. Step 2: Convert to fraction form
    14,431.05/21,648.85 = 6,111.11/x
  3. Step 3: Cross multiply
    14,431.05x = 21,648.85 × 6,111.11
  4. Step 4: Simplify right side
    14,431.05x = 132,298,503.72
  5. Step 5: Solve for x
    x = 132,298,503.72/14,431.05
  6. Step 6: Final answer
    x = 9,167.63

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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.