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Finding the Fourth Proportional to 16,475.09, 22,734.43 and 9,302.78

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Solution

The fourth proportional to 16,475.09, 22,734.43 and 9,302.78 is: 12,837.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475.09 : 22,734.43 = 9,302.78 : x
  2. Step 2: Convert to fraction form
    16,475.09/22,734.43 = 9,302.78/x
  3. Step 3: Cross multiply
    16,475.09x = 22,734.43 × 9,302.78
  4. Step 4: Simplify right side
    16,475.09x = 211,493,434.29
  5. Step 5: Solve for x
    x = 211,493,434.29/16,475.09
  6. Step 6: Final answer
    x = 12,837.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.