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Finding the Fourth Proportional to 18,293.12, 27,405.12 and 9,031.04

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Solution

The fourth proportional to 18,293.12, 27,405.12 and 9,031.04 is: 13,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,293.12 : 27,405.12 = 9,031.04 : x
  2. Step 2: Convert to fraction form
    18,293.12/27,405.12 = 9,031.04/x
  3. Step 3: Cross multiply
    18,293.12x = 27,405.12 × 9,031.04
  4. Step 4: Simplify right side
    18,293.12x = 247,496,734.92
  5. Step 5: Solve for x
    x = 247,496,734.92/18,293.12
  6. Step 6: Final answer
    x = 13,529.50

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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.