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Finding the Fourth Proportional to 17,904.96, 26,871.11 and 9,029.16

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Solution

The fourth proportional to 17,904.96, 26,871.11 and 9,029.16 is: 13,550.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,904.96 : 26,871.11 = 9,029.16 : x
  2. Step 2: Convert to fraction form
    17,904.96/26,871.11 = 9,029.16/x
  3. Step 3: Cross multiply
    17,904.96x = 26,871.11 × 9,029.16
  4. Step 4: Simplify right side
    17,904.96x = 242,623,574.14
  5. Step 5: Solve for x
    x = 242,623,574.14/17,904.96
  6. Step 6: Final answer
    x = 13,550.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.