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Finding the Fourth Proportional to 14,752.44, 20,365.90 and 9,997.50

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Solution

The fourth proportional to 14,752.44, 20,365.90 and 9,997.50 is: 13,801.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,752.44 : 20,365.90 = 9,997.50 : x
  2. Step 2: Convert to fraction form
    14,752.44/20,365.90 = 9,997.50/x
  3. Step 3: Cross multiply
    14,752.44x = 20,365.90 × 9,997.50
  4. Step 4: Simplify right side
    14,752.44x = 203,608,060.26
  5. Step 5: Solve for x
    x = 203,608,060.26/14,752.44
  6. Step 6: Final answer
    x = 13,801.65

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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.