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Finding the Fourth Proportional to 16,459.84, 22,716.96 and 10,171.84

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Solution

The fourth proportional to 16,459.84, 22,716.96 and 10,171.84 is: 14,038.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.84 : 22,716.96 = 10,171.84 : x
  2. Step 2: Convert to fraction form
    16,459.84/22,716.96 = 10,171.84/x
  3. Step 3: Cross multiply
    16,459.84x = 22,716.96 × 10,171.84
  4. Step 4: Simplify right side
    16,459.84x = 231,073,282.41
  5. Step 5: Solve for x
    x = 231,073,282.41/16,459.84
  6. Step 6: Final answer
    x = 14,038.61

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1.5x scale

Why These Related Problems?

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