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Finding the Fourth Proportional to 16,404.69, 24,617.89 and 9,014.30

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Solution

The fourth proportional to 16,404.69, 24,617.89 and 9,014.30 is: 13,527.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,404.69 : 24,617.89 = 9,014.30 : x
  2. Step 2: Convert to fraction form
    16,404.69/24,617.89 = 9,014.30/x
  3. Step 3: Cross multiply
    16,404.69x = 24,617.89 × 9,014.30
  4. Step 4: Simplify right side
    16,404.69x = 221,913,008.33
  5. Step 5: Solve for x
    x = 221,913,008.33/16,404.69
  6. Step 6: Final answer
    x = 13,527.41

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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.