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Finding the Fourth Proportional to 27,282.92, 40,931.04 and 9,511.11

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Solution

The fourth proportional to 27,282.92, 40,931.04 and 9,511.11 is: 14,268.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,282.92 : 40,931.04 = 9,511.11 : x
  2. Step 2: Convert to fraction form
    27,282.92/40,931.04 = 9,511.11/x
  3. Step 3: Cross multiply
    27,282.92x = 40,931.04 × 9,511.11
  4. Step 4: Simplify right side
    27,282.92x = 389,299,623.85
  5. Step 5: Solve for x
    x = 389,299,623.85/27,282.92
  6. Step 6: Final answer
    x = 14,268.99

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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.