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Finding the Fourth Proportional to 28,502.89, 42,755.20 and 9,782.66

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Solution

The fourth proportional to 28,502.89, 42,755.20 and 9,782.66 is: 14,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,502.89 : 42,755.20 = 9,782.66 : x
  2. Step 2: Convert to fraction form
    28,502.89/42,755.20 = 9,782.66/x
  3. Step 3: Cross multiply
    28,502.89x = 42,755.20 × 9,782.66
  4. Step 4: Simplify right side
    28,502.89x = 418,259,561.96
  5. Step 5: Solve for x
    x = 418,259,561.96/28,502.89
  6. Step 6: Final answer
    x = 14,674.29

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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.