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Finding the Fourth Proportional to 17,431.40, 24,059.16 and 11,463.63

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Solution

The fourth proportional to 17,431.40, 24,059.16 and 11,463.63 is: 15,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,431.40 : 24,059.16 = 11,463.63 : x
  2. Step 2: Convert to fraction form
    17,431.40/24,059.16 = 11,463.63/x
  3. Step 3: Cross multiply
    17,431.40x = 24,059.16 × 11,463.63
  4. Step 4: Simplify right side
    17,431.40x = 275,805,218.13
  5. Step 5: Solve for x
    x = 275,805,218.13/17,431.40
  6. Step 6: Final answer
    x = 15,822.32

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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.