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Finding the Fourth Proportional to 17,149.76, 23,649.30 and 10,428.84

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Solution

The fourth proportional to 17,149.76, 23,649.30 and 10,428.84 is: 14,381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,149.76 : 23,649.30 = 10,428.84 : x
  2. Step 2: Convert to fraction form
    17,149.76/23,649.30 = 10,428.84/x
  3. Step 3: Cross multiply
    17,149.76x = 23,649.30 × 10,428.84
  4. Step 4: Simplify right side
    17,149.76x = 246,634,765.81
  5. Step 5: Solve for x
    x = 246,634,765.81/17,149.76
  6. Step 6: Final answer
    x = 14,381.24

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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.