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Finding the Fourth Proportional to 19,502.67, 29,253.60 and 7,812.75

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Solution

The fourth proportional to 19,502.67, 29,253.60 and 7,812.75 is: 11,718.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,502.67 : 29,253.60 = 7,812.75 : x
  2. Step 2: Convert to fraction form
    19,502.67/29,253.60 = 7,812.75/x
  3. Step 3: Cross multiply
    19,502.67x = 29,253.60 × 7,812.75
  4. Step 4: Simplify right side
    19,502.67x = 228,551,063.40
  5. Step 5: Solve for x
    x = 228,551,063.40/19,502.67
  6. Step 6: Final answer
    x = 11,718.96

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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.