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Finding the Fourth Proportional to 14,969.88, 22,448.65 and 5,109.96

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Solution

The fourth proportional to 14,969.88, 22,448.65 and 5,109.96 is: 7,662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.88 : 22,448.65 = 5,109.96 : x
  2. Step 2: Convert to fraction form
    14,969.88/22,448.65 = 5,109.96/x
  3. Step 3: Cross multiply
    14,969.88x = 22,448.65 × 5,109.96
  4. Step 4: Simplify right side
    14,969.88x = 114,711,606.60
  5. Step 5: Solve for x
    x = 114,711,606.60/14,969.88
  6. Step 6: Final answer
    x = 7,662.83

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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.