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Finding the Fourth Proportional to 13,823.01, 19,076.03 and 7,535.38

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Solution

The fourth proportional to 13,823.01, 19,076.03 and 7,535.38 is: 10,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.01 : 19,076.03 = 7,535.38 : x
  2. Step 2: Convert to fraction form
    13,823.01/19,076.03 = 7,535.38/x
  3. Step 3: Cross multiply
    13,823.01x = 19,076.03 × 7,535.38
  4. Step 4: Simplify right side
    13,823.01x = 143,745,134.94
  5. Step 5: Solve for x
    x = 143,745,134.94/13,823.01
  6. Step 6: Final answer
    x = 10,398.97

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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.