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Finding the Fourth Proportional to 12,185.32, 18,302.55 and 7,264.57

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Solution

The fourth proportional to 12,185.32, 18,302.55 and 7,264.57 is: 10,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.32 : 18,302.55 = 7,264.57 : x
  2. Step 2: Convert to fraction form
    12,185.32/18,302.55 = 7,264.57/x
  3. Step 3: Cross multiply
    12,185.32x = 18,302.55 × 7,264.57
  4. Step 4: Simplify right side
    12,185.32x = 132,960,155.65
  5. Step 5: Solve for x
    x = 132,960,155.65/12,185.32
  6. Step 6: Final answer
    x = 10,911.50

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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.