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Finding the Fourth Proportional to 17,358.24, 23,952.56 and 9,803.92

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Solution

The fourth proportional to 17,358.24, 23,952.56 and 9,803.92 is: 13,528.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,358.24 : 23,952.56 = 9,803.92 : x
  2. Step 2: Convert to fraction form
    17,358.24/23,952.56 = 9,803.92/x
  3. Step 3: Cross multiply
    17,358.24x = 23,952.56 × 9,803.92
  4. Step 4: Simplify right side
    17,358.24x = 234,828,982.04
  5. Step 5: Solve for x
    x = 234,828,982.04/17,358.24
  6. Step 6: Final answer
    x = 13,528.39

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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.