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Finding the Fourth Proportional to 16,349.69, 22,562.35 and 9,635.60

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Solution

The fourth proportional to 16,349.69, 22,562.35 and 9,635.60 is: 13,296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.69 : 22,562.35 = 9,635.60 : x
  2. Step 2: Convert to fraction form
    16,349.69/22,562.35 = 9,635.60/x
  3. Step 3: Cross multiply
    16,349.69x = 22,562.35 × 9,635.60
  4. Step 4: Simplify right side
    16,349.69x = 217,401,618.67
  5. Step 5: Solve for x
    x = 217,401,618.67/16,349.69
  6. Step 6: Final answer
    x = 13,296.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.