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Finding the Fourth Proportional to 17,268, 23,817.84 and 10,459.82

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Solution

The fourth proportional to 17,268, 23,817.84 and 10,459.82 is: 14,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,268 : 23,817.84 = 10,459.82 : x
  2. Step 2: Convert to fraction form
    17,268/23,817.84 = 10,459.82/x
  3. Step 3: Cross multiply
    17,268x = 23,817.84 × 10,459.82
  4. Step 4: Simplify right side
    17,268x = 249,130,319.19
  5. Step 5: Solve for x
    x = 249,130,319.19/17,268
  6. Step 6: Final answer
    x = 14,427.28

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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.