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Finding the Fourth Proportional to 12,415.24, 18,606.30 and 10,851.40

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Solution

The fourth proportional to 12,415.24, 18,606.30 and 10,851.40 is: 16,262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.24 : 18,606.30 = 10,851.40 : x
  2. Step 2: Convert to fraction form
    12,415.24/18,606.30 = 10,851.40/x
  3. Step 3: Cross multiply
    12,415.24x = 18,606.30 × 10,851.40
  4. Step 4: Simplify right side
    12,415.24x = 201,904,403.82
  5. Step 5: Solve for x
    x = 201,904,403.82/12,415.24
  6. Step 6: Final answer
    x = 16,262.63

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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.