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Finding the Fourth Proportional to 17,298.92, 23,873.38 and 9,849.32

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Solution

The fourth proportional to 17,298.92, 23,873.38 and 9,849.32 is: 13,592.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,298.92 : 23,873.38 = 9,849.32 : x
  2. Step 2: Convert to fraction form
    17,298.92/23,873.38 = 9,849.32/x
  3. Step 3: Cross multiply
    17,298.92x = 23,873.38 × 9,849.32
  4. Step 4: Simplify right side
    17,298.92x = 235,136,559.10
  5. Step 5: Solve for x
    x = 235,136,559.10/17,298.92
  6. Step 6: Final answer
    x = 13,592.56

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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.