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Finding the Fourth Proportional to 14,411.67, 21,589.53 and 9,466.30

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Solution

The fourth proportional to 14,411.67, 21,589.53 and 9,466.30 is: 14,181.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.67 : 21,589.53 = 9,466.30 : x
  2. Step 2: Convert to fraction form
    14,411.67/21,589.53 = 9,466.30/x
  3. Step 3: Cross multiply
    14,411.67x = 21,589.53 × 9,466.30
  4. Step 4: Simplify right side
    14,411.67x = 204,372,967.84
  5. Step 5: Solve for x
    x = 204,372,967.84/14,411.67
  6. Step 6: Final answer
    x = 14,181.07

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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.