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Finding the Fourth Proportional to 14,331.69, 21,459.47 and 9,644.49

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Solution

The fourth proportional to 14,331.69, 21,459.47 and 9,644.49 is: 14,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,331.69 : 21,459.47 = 9,644.49 : x
  2. Step 2: Convert to fraction form
    14,331.69/21,459.47 = 9,644.49/x
  3. Step 3: Cross multiply
    14,331.69x = 21,459.47 × 9,644.49
  4. Step 4: Simplify right side
    14,331.69x = 206,965,595.60
  5. Step 5: Solve for x
    x = 206,965,595.60/14,331.69
  6. Step 6: Final answer
    x = 14,441.12

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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.