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Finding the Fourth Proportional to 19,474.06, 29,212.06 and 9,487.98

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Solution

The fourth proportional to 19,474.06, 29,212.06 and 9,487.98 is: 14,232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,474.06 : 29,212.06 = 9,487.98 : x
  2. Step 2: Convert to fraction form
    19,474.06/29,212.06 = 9,487.98/x
  3. Step 3: Cross multiply
    19,474.06x = 29,212.06 × 9,487.98
  4. Step 4: Simplify right side
    19,474.06x = 277,163,441.04
  5. Step 5: Solve for x
    x = 277,163,441.04/19,474.06
  6. Step 6: Final answer
    x = 14,232.44

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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.