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Finding the Fourth Proportional to 14,983.60, 22,448.40 and 7,175.20

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Solution

The fourth proportional to 14,983.60, 22,448.40 and 7,175.20 is: 10,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,983.60 : 22,448.40 = 7,175.20 : x
  2. Step 2: Convert to fraction form
    14,983.60/22,448.40 = 7,175.20/x
  3. Step 3: Cross multiply
    14,983.60x = 22,448.40 × 7,175.20
  4. Step 4: Simplify right side
    14,983.60x = 161,071,759.68
  5. Step 5: Solve for x
    x = 161,071,759.68/14,983.60
  6. Step 6: Final answer
    x = 10,749.87

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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.