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Finding the Fourth Proportional to 14,006.14, 21,003.05 and 4,146.18

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Solution

The fourth proportional to 14,006.14, 21,003.05 and 4,146.18 is: 6,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.14 : 21,003.05 = 4,146.18 : x
  2. Step 2: Convert to fraction form
    14,006.14/21,003.05 = 4,146.18/x
  3. Step 3: Cross multiply
    14,006.14x = 21,003.05 × 4,146.18
  4. Step 4: Simplify right side
    14,006.14x = 87,082,425.85
  5. Step 5: Solve for x
    x = 87,082,425.85/14,006.14
  6. Step 6: Final answer
    x = 6,217.45

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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.