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Finding the Fourth Proportional to 19,728.75, 29,606.09 and 7,416.75

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Solution

The fourth proportional to 19,728.75, 29,606.09 and 7,416.75 is: 11,130.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728.75 : 29,606.09 = 7,416.75 : x
  2. Step 2: Convert to fraction form
    19,728.75/29,606.09 = 7,416.75/x
  3. Step 3: Cross multiply
    19,728.75x = 29,606.09 × 7,416.75
  4. Step 4: Simplify right side
    19,728.75x = 219,580,930.92
  5. Step 5: Solve for x
    x = 219,580,930.92/19,728.75
  6. Step 6: Final answer
    x = 11,130.00

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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.