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Finding the Fourth Proportional to 11,424.09, 17,079.80 and 9,688.44

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Solution

The fourth proportional to 11,424.09, 17,079.80 and 9,688.44 is: 14,484.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.09 : 17,079.80 = 9,688.44 : x
  2. Step 2: Convert to fraction form
    11,424.09/17,079.80 = 9,688.44/x
  3. Step 3: Cross multiply
    11,424.09x = 17,079.80 × 9,688.44
  4. Step 4: Simplify right side
    11,424.09x = 165,476,569.07
  5. Step 5: Solve for x
    x = 165,476,569.07/11,424.09
  6. Step 6: Final answer
    x = 14,484.88

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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.