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Finding the Fourth Proportional to 16,301.38, 24,435.53 and 9,266.86

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Solution

The fourth proportional to 16,301.38, 24,435.53 and 9,266.86 is: 13,890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.38 : 24,435.53 = 9,266.86 : x
  2. Step 2: Convert to fraction form
    16,301.38/24,435.53 = 9,266.86/x
  3. Step 3: Cross multiply
    16,301.38x = 24,435.53 × 9,266.86
  4. Step 4: Simplify right side
    16,301.38x = 226,440,654.20
  5. Step 5: Solve for x
    x = 226,440,654.20/16,301.38
  6. Step 6: Final answer
    x = 13,890.89

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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.