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Finding the Fourth Proportional to 17,159.49, 23,678.81 and 10,444.38

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Solution

The fourth proportional to 17,159.49, 23,678.81 and 10,444.38 is: 14,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,159.49 : 23,678.81 = 10,444.38 : x
  2. Step 2: Convert to fraction form
    17,159.49/23,678.81 = 10,444.38/x
  3. Step 3: Cross multiply
    17,159.49x = 23,678.81 × 10,444.38
  4. Step 4: Simplify right side
    17,159.49x = 247,310,489.59
  5. Step 5: Solve for x
    x = 247,310,489.59/17,159.49
  6. Step 6: Final answer
    x = 14,412.46

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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.