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Finding the Fourth Proportional to 16,116.84, 22,241.46 and 9,742.56

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Solution

The fourth proportional to 16,116.84, 22,241.46 and 9,742.56 is: 13,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116.84 : 22,241.46 = 9,742.56 : x
  2. Step 2: Convert to fraction form
    16,116.84/22,241.46 = 9,742.56/x
  3. Step 3: Cross multiply
    16,116.84x = 22,241.46 × 9,742.56
  4. Step 4: Simplify right side
    16,116.84x = 216,688,758.54
  5. Step 5: Solve for x
    x = 216,688,758.54/16,116.84
  6. Step 6: Final answer
    x = 13,444.87

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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.