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Finding the Fourth Proportional to 14,409.85, 21,617.01 and 6,089.90

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Solution

The fourth proportional to 14,409.85, 21,617.01 and 6,089.90 is: 9,135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.85 : 21,617.01 = 6,089.90 : x
  2. Step 2: Convert to fraction form
    14,409.85/21,617.01 = 6,089.90/x
  3. Step 3: Cross multiply
    14,409.85x = 21,617.01 × 6,089.90
  4. Step 4: Simplify right side
    14,409.85x = 131,645,379.34
  5. Step 5: Solve for x
    x = 131,645,379.34/14,409.85
  6. Step 6: Final answer
    x = 9,135.79

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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.