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Finding the Fourth Proportional to 17,412.48, 24,028.80 and 9,960

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Solution

The fourth proportional to 17,412.48, 24,028.80 and 9,960 is: 13,744.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412.48 : 24,028.80 = 9,960 : x
  2. Step 2: Convert to fraction form
    17,412.48/24,028.80 = 9,960/x
  3. Step 3: Cross multiply
    17,412.48x = 24,028.80 × 9,960
  4. Step 4: Simplify right side
    17,412.48x = 239,326,848
  5. Step 5: Solve for x
    x = 239,326,848/17,412.48
  6. Step 6: Final answer
    x = 13,744.56

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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.