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Finding the Fourth Proportional to 16,426.40, 22,662 and 10,127.84

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Solution

The fourth proportional to 16,426.40, 22,662 and 10,127.84 is: 13,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,426.40 : 22,662 = 10,127.84 : x
  2. Step 2: Convert to fraction form
    16,426.40/22,662 = 10,127.84/x
  3. Step 3: Cross multiply
    16,426.40x = 22,662 × 10,127.84
  4. Step 4: Simplify right side
    16,426.40x = 229,517,110.08
  5. Step 5: Solve for x
    x = 229,517,110.08/16,426.40
  6. Step 6: Final answer
    x = 13,972.45

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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.