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Finding the Fourth Proportional to 13,700.05, 18,905.74 and 7,731.97

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Solution

The fourth proportional to 13,700.05, 18,905.74 and 7,731.97 is: 10,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.05 : 18,905.74 = 7,731.97 : x
  2. Step 2: Convert to fraction form
    13,700.05/18,905.74 = 7,731.97/x
  3. Step 3: Cross multiply
    13,700.05x = 18,905.74 × 7,731.97
  4. Step 4: Simplify right side
    13,700.05x = 146,178,614.51
  5. Step 5: Solve for x
    x = 146,178,614.51/13,700.05
  6. Step 6: Final answer
    x = 10,669.93

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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.