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Finding the Fourth Proportional to 17,509.02, 24,160.41 and 9,956.22

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Solution

The fourth proportional to 17,509.02, 24,160.41 and 9,956.22 is: 13,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.02 : 24,160.41 = 9,956.22 : x
  2. Step 2: Convert to fraction form
    17,509.02/24,160.41 = 9,956.22/x
  3. Step 3: Cross multiply
    17,509.02x = 24,160.41 × 9,956.22
  4. Step 4: Simplify right side
    17,509.02x = 240,546,357.25
  5. Step 5: Solve for x
    x = 240,546,357.25/17,509.02
  6. Step 6: Final answer
    x = 13,738.42

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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.