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Finding the Fourth Proportional to 38,463.64, 57,694.99 and 9,998.07

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Solution

The fourth proportional to 38,463.64, 57,694.99 and 9,998.07 is: 14,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,463.64 : 57,694.99 = 9,998.07 : x
  2. Step 2: Convert to fraction form
    38,463.64/57,694.99 = 9,998.07/x
  3. Step 3: Cross multiply
    38,463.64x = 57,694.99 × 9,998.07
  4. Step 4: Simplify right side
    38,463.64x = 576,838,548.67
  5. Step 5: Solve for x
    x = 576,838,548.67/38,463.64
  6. Step 6: Final answer
    x = 14,996.98

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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.