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Finding the Fourth Proportional to 17,382.12, 23,981.04 and 11,417

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Solution

The fourth proportional to 17,382.12, 23,981.04 and 11,417 is: 15,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.12 : 23,981.04 = 11,417 : x
  2. Step 2: Convert to fraction form
    17,382.12/23,981.04 = 11,417/x
  3. Step 3: Cross multiply
    17,382.12x = 23,981.04 × 11,417
  4. Step 4: Simplify right side
    17,382.12x = 273,791,533.68
  5. Step 5: Solve for x
    x = 273,791,533.68/17,382.12
  6. Step 6: Final answer
    x = 15,751.33

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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.