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Finding the Fourth Proportional to 16,298.80, 22,491.57 and 10,009.96

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Solution

The fourth proportional to 16,298.80, 22,491.57 and 10,009.96 is: 13,813.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.80 : 22,491.57 = 10,009.96 : x
  2. Step 2: Convert to fraction form
    16,298.80/22,491.57 = 10,009.96/x
  3. Step 3: Cross multiply
    16,298.80x = 22,491.57 × 10,009.96
  4. Step 4: Simplify right side
    16,298.80x = 225,139,716.04
  5. Step 5: Solve for x
    x = 225,139,716.04/16,298.80
  6. Step 6: Final answer
    x = 13,813.27

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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.