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Finding the Fourth Proportional to 13,775.38, 19,010.09 and 7,487.75

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Solution

The fourth proportional to 13,775.38, 19,010.09 and 7,487.75 is: 10,333.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.38 : 19,010.09 = 7,487.75 : x
  2. Step 2: Convert to fraction form
    13,775.38/19,010.09 = 7,487.75/x
  3. Step 3: Cross multiply
    13,775.38x = 19,010.09 × 7,487.75
  4. Step 4: Simplify right side
    13,775.38x = 142,342,801.40
  5. Step 5: Solve for x
    x = 142,342,801.40/13,775.38
  6. Step 6: Final answer
    x = 10,333.13

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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.