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Finding the Fourth Proportional to 11,649.60, 17,381.88 and 10,823.76

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Solution

The fourth proportional to 11,649.60, 17,381.88 and 10,823.76 is: 16,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.60 : 17,381.88 = 10,823.76 : x
  2. Step 2: Convert to fraction form
    11,649.60/17,381.88 = 10,823.76/x
  3. Step 3: Cross multiply
    11,649.60x = 17,381.88 × 10,823.76
  4. Step 4: Simplify right side
    11,649.60x = 188,137,297.47
  5. Step 5: Solve for x
    x = 188,137,297.47/11,649.60
  6. Step 6: Final answer
    x = 16,149.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.