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Finding the Fourth Proportional to 14,969.75, 22,448.12 and 7,948.23

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Solution

The fourth proportional to 14,969.75, 22,448.12 and 7,948.23 is: 11,918.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.75 : 22,448.12 = 7,948.23 : x
  2. Step 2: Convert to fraction form
    14,969.75/22,448.12 = 7,948.23/x
  3. Step 3: Cross multiply
    14,969.75x = 22,448.12 × 7,948.23
  4. Step 4: Simplify right side
    14,969.75x = 178,422,741.61
  5. Step 5: Solve for x
    x = 178,422,741.61/14,969.75
  6. Step 6: Final answer
    x = 11,918.89

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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.