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Finding the Fourth Proportional to 13,693.38, 18,896.79 and 7,643.27

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Solution

The fourth proportional to 13,693.38, 18,896.79 and 7,643.27 is: 10,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.38 : 18,896.79 = 7,643.27 : x
  2. Step 2: Convert to fraction form
    13,693.38/18,896.79 = 7,643.27/x
  3. Step 3: Cross multiply
    13,693.38x = 18,896.79 × 7,643.27
  4. Step 4: Simplify right side
    13,693.38x = 144,433,334.45
  5. Step 5: Solve for x
    x = 144,433,334.45/13,693.38
  6. Step 6: Final answer
    x = 10,547.68

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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.