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Finding the Fourth Proportional to 27,114.69, 40,673.48 and 8,407.65

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Solution

The fourth proportional to 27,114.69, 40,673.48 and 8,407.65 is: 12,611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114.69 : 40,673.48 = 8,407.65 : x
  2. Step 2: Convert to fraction form
    27,114.69/40,673.48 = 8,407.65/x
  3. Step 3: Cross multiply
    27,114.69x = 40,673.48 × 8,407.65
  4. Step 4: Simplify right side
    27,114.69x = 341,968,384.12
  5. Step 5: Solve for x
    x = 341,968,384.12/27,114.69
  6. Step 6: Final answer
    x = 12,611.92

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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.