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Finding the Fourth Proportional to 17,287.14, 23,854.28 and 9,733.28

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Solution

The fourth proportional to 17,287.14, 23,854.28 and 9,733.28 is: 13,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,287.14 : 23,854.28 = 9,733.28 : x
  2. Step 2: Convert to fraction form
    17,287.14/23,854.28 = 9,733.28/x
  3. Step 3: Cross multiply
    17,287.14x = 23,854.28 × 9,733.28
  4. Step 4: Simplify right side
    17,287.14x = 232,180,267.17
  5. Step 5: Solve for x
    x = 232,180,267.17/17,287.14
  6. Step 6: Final answer
    x = 13,430.81

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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.