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Finding the Fourth Proportional to 19,471.73, 29,208.47 and 9,485.64

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Solution

The fourth proportional to 19,471.73, 29,208.47 and 9,485.64 is: 14,228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,471.73 : 29,208.47 = 9,485.64 : x
  2. Step 2: Convert to fraction form
    19,471.73/29,208.47 = 9,485.64/x
  3. Step 3: Cross multiply
    19,471.73x = 29,208.47 × 9,485.64
  4. Step 4: Simplify right side
    19,471.73x = 277,060,983.94
  5. Step 5: Solve for x
    x = 277,060,983.94/19,471.73
  6. Step 6: Final answer
    x = 14,228.89

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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.