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Finding the Fourth Proportional to 10,857.44, 14,990.88 and 9,588.80

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Solution

The fourth proportional to 10,857.44, 14,990.88 and 9,588.80 is: 13,239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.44 : 14,990.88 = 9,588.80 : x
  2. Step 2: Convert to fraction form
    10,857.44/14,990.88 = 9,588.80/x
  3. Step 3: Cross multiply
    10,857.44x = 14,990.88 × 9,588.80
  4. Step 4: Simplify right side
    10,857.44x = 143,744,550.14
  5. Step 5: Solve for x
    x = 143,744,550.14/10,857.44
  6. Step 6: Final answer
    x = 13,239.27

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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.