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Finding the Fourth Proportional to 19,728.25, 29,606.96 and 9,340

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Solution

The fourth proportional to 19,728.25, 29,606.96 and 9,340 is: 14,016.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728.25 : 29,606.96 = 9,340 : x
  2. Step 2: Convert to fraction form
    19,728.25/29,606.96 = 9,340/x
  3. Step 3: Cross multiply
    19,728.25x = 29,606.96 × 9,340
  4. Step 4: Simplify right side
    19,728.25x = 276,529,006.40
  5. Step 5: Solve for x
    x = 276,529,006.40/19,728.25
  6. Step 6: Final answer
    x = 14,016.91

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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.