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Finding the Fourth Proportional to 12,365.93, 18,532.49 and 10,714.75

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Solution

The fourth proportional to 12,365.93, 18,532.49 and 10,714.75 is: 16,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365.93 : 18,532.49 = 10,714.75 : x
  2. Step 2: Convert to fraction form
    12,365.93/18,532.49 = 10,714.75/x
  3. Step 3: Cross multiply
    12,365.93x = 18,532.49 × 10,714.75
  4. Step 4: Simplify right side
    12,365.93x = 198,570,997.23
  5. Step 5: Solve for x
    x = 198,570,997.23/12,365.93
  6. Step 6: Final answer
    x = 16,057.91

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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.