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Finding the Fourth Proportional to 14,462.70, 21,690.36 and 6,138.42

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Solution

The fourth proportional to 14,462.70, 21,690.36 and 6,138.42 is: 9,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.70 : 21,690.36 = 6,138.42 : x
  2. Step 2: Convert to fraction form
    14,462.70/21,690.36 = 6,138.42/x
  3. Step 3: Cross multiply
    14,462.70x = 21,690.36 × 6,138.42
  4. Step 4: Simplify right side
    14,462.70x = 133,144,539.63
  5. Step 5: Solve for x
    x = 133,144,539.63/14,462.70
  6. Step 6: Final answer
    x = 9,206.06

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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.