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Finding the Fourth Proportional to 13,502.94, 18,636.30 and 9,976.38

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Solution

The fourth proportional to 13,502.94, 18,636.30 and 9,976.38 is: 13,769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.94 : 18,636.30 = 9,976.38 : x
  2. Step 2: Convert to fraction form
    13,502.94/18,636.30 = 9,976.38/x
  3. Step 3: Cross multiply
    13,502.94x = 18,636.30 × 9,976.38
  4. Step 4: Simplify right side
    13,502.94x = 185,922,810.59
  5. Step 5: Solve for x
    x = 185,922,810.59/13,502.94
  6. Step 6: Final answer
    x = 13,769.06

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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.