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Finding the Fourth Proportional to 14,076.38, 19,426.01 and 7,788.75

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Solution

The fourth proportional to 14,076.38, 19,426.01 and 7,788.75 is: 10,748.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,076.38 : 19,426.01 = 7,788.75 : x
  2. Step 2: Convert to fraction form
    14,076.38/19,426.01 = 7,788.75/x
  3. Step 3: Cross multiply
    14,076.38x = 19,426.01 × 7,788.75
  4. Step 4: Simplify right side
    14,076.38x = 151,304,335.39
  5. Step 5: Solve for x
    x = 151,304,335.39/14,076.38
  6. Step 6: Final answer
    x = 10,748.81

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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.