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Finding the Fourth Proportional to 27,862.50, 41,784.02 and 12,271.62

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Solution

The fourth proportional to 27,862.50, 41,784.02 and 12,271.62 is: 18,403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,862.50 : 41,784.02 = 12,271.62 : x
  2. Step 2: Convert to fraction form
    27,862.50/41,784.02 = 12,271.62/x
  3. Step 3: Cross multiply
    27,862.50x = 41,784.02 × 12,271.62
  4. Step 4: Simplify right side
    27,862.50x = 512,757,512.51
  5. Step 5: Solve for x
    x = 512,757,512.51/27,862.50
  6. Step 6: Final answer
    x = 18,403.14

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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.