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Finding the Fourth Proportional to 16,123.84, 22,259.76 and 11,871.28

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Solution

The fourth proportional to 16,123.84, 22,259.76 and 11,871.28 is: 16,388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.84 : 22,259.76 = 11,871.28 : x
  2. Step 2: Convert to fraction form
    16,123.84/22,259.76 = 11,871.28/x
  3. Step 3: Cross multiply
    16,123.84x = 22,259.76 × 11,871.28
  4. Step 4: Simplify right side
    16,123.84x = 264,251,843.69
  5. Step 5: Solve for x
    x = 264,251,843.69/16,123.84
  6. Step 6: Final answer
    x = 16,388.89

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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.