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Finding the Fourth Proportional to 27,875.52, 41,824.16 and 12,282.16

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Solution

The fourth proportional to 27,875.52, 41,824.16 and 12,282.16 is: 18,428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,875.52 : 41,824.16 = 12,282.16 : x
  2. Step 2: Convert to fraction form
    27,875.52/41,824.16 = 12,282.16/x
  3. Step 3: Cross multiply
    27,875.52x = 41,824.16 × 12,282.16
  4. Step 4: Simplify right side
    27,875.52x = 513,691,024.99
  5. Step 5: Solve for x
    x = 513,691,024.99/27,875.52
  6. Step 6: Final answer
    x = 18,428.03

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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.