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Finding the Fourth Proportional to 13,678.97, 18,874.91 and 7,710.54

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Solution

The fourth proportional to 13,678.97, 18,874.91 and 7,710.54 is: 10,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.97 : 18,874.91 = 7,710.54 : x
  2. Step 2: Convert to fraction form
    13,678.97/18,874.91 = 7,710.54/x
  3. Step 3: Cross multiply
    13,678.97x = 18,874.91 × 7,710.54
  4. Step 4: Simplify right side
    13,678.97x = 145,535,710.00
  5. Step 5: Solve for x
    x = 145,535,710.00/13,678.97
  6. Step 6: Final answer
    x = 10,639.38

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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.