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Finding the Fourth Proportional to 13,777.42, 19,013.43 and 8,473.99

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Solution

The fourth proportional to 13,777.42, 19,013.43 and 8,473.99 is: 11,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.42 : 19,013.43 = 8,473.99 : x
  2. Step 2: Convert to fraction form
    13,777.42/19,013.43 = 8,473.99/x
  3. Step 3: Cross multiply
    13,777.42x = 19,013.43 × 8,473.99
  4. Step 4: Simplify right side
    13,777.42x = 161,119,615.69
  5. Step 5: Solve for x
    x = 161,119,615.69/13,777.42
  6. Step 6: Final answer
    x = 11,694.47

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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.