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Finding the Fourth Proportional to 13,669.80, 18,864.32 and 7,382.17

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Solution

The fourth proportional to 13,669.80, 18,864.32 and 7,382.17 is: 10,187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,669.80 : 18,864.32 = 7,382.17 : x
  2. Step 2: Convert to fraction form
    13,669.80/18,864.32 = 7,382.17/x
  3. Step 3: Cross multiply
    13,669.80x = 18,864.32 × 7,382.17
  4. Step 4: Simplify right side
    13,669.80x = 139,259,664.34
  5. Step 5: Solve for x
    x = 139,259,664.34/13,669.80
  6. Step 6: Final answer
    x = 10,187.40

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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.