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Finding the Fourth Proportional to 19,643.38, 27,097.32 and 13,664.66

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Solution

The fourth proportional to 19,643.38, 27,097.32 and 13,664.66 is: 18,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,643.38 : 27,097.32 = 13,664.66 : x
  2. Step 2: Convert to fraction form
    19,643.38/27,097.32 = 13,664.66/x
  3. Step 3: Cross multiply
    19,643.38x = 27,097.32 × 13,664.66
  4. Step 4: Simplify right side
    19,643.38x = 370,275,664.71
  5. Step 5: Solve for x
    x = 370,275,664.71/19,643.38
  6. Step 6: Final answer
    x = 18,849.90

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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.