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Finding the Fourth Proportional to 14,383.84, 19,860.96 and 11,248.96

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Solution

The fourth proportional to 14,383.84, 19,860.96 and 11,248.96 is: 15,532.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.84 : 19,860.96 = 11,248.96 : x
  2. Step 2: Convert to fraction form
    14,383.84/19,860.96 = 11,248.96/x
  3. Step 3: Cross multiply
    14,383.84x = 19,860.96 × 11,248.96
  4. Step 4: Simplify right side
    14,383.84x = 223,415,144.60
  5. Step 5: Solve for x
    x = 223,415,144.60/14,383.84
  6. Step 6: Final answer
    x = 15,532.37

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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.