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Finding the Fourth Proportional to 15,777.81, 23,654.94 and 9,536.40

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Solution

The fourth proportional to 15,777.81, 23,654.94 and 9,536.40 is: 14,297.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.81 : 23,654.94 = 9,536.40 : x
  2. Step 2: Convert to fraction form
    15,777.81/23,654.94 = 9,536.40/x
  3. Step 3: Cross multiply
    15,777.81x = 23,654.94 × 9,536.40
  4. Step 4: Simplify right side
    15,777.81x = 225,582,969.82
  5. Step 5: Solve for x
    x = 225,582,969.82/15,777.81
  6. Step 6: Final answer
    x = 14,297.48

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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.