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Finding the Fourth Proportional to 16,341.45, 24,512.17 and 9,769.51

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Solution

The fourth proportional to 16,341.45, 24,512.17 and 9,769.51 is: 14,654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,341.45 : 24,512.17 = 9,769.51 : x
  2. Step 2: Convert to fraction form
    16,341.45/24,512.17 = 9,769.51/x
  3. Step 3: Cross multiply
    16,341.45x = 24,512.17 × 9,769.51
  4. Step 4: Simplify right side
    16,341.45x = 239,471,914.47
  5. Step 5: Solve for x
    x = 239,471,914.47/16,341.45
  6. Step 6: Final answer
    x = 14,654.27

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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.