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Finding the Fourth Proportional to 27,513.20, 37,977.76 and 16,903.76

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Solution

The fourth proportional to 27,513.20, 37,977.76 and 16,903.76 is: 23,333.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,513.20 : 37,977.76 = 16,903.76 : x
  2. Step 2: Convert to fraction form
    27,513.20/37,977.76 = 16,903.76/x
  3. Step 3: Cross multiply
    27,513.20x = 37,977.76 × 16,903.76
  4. Step 4: Simplify right side
    27,513.20x = 641,966,940.38
  5. Step 5: Solve for x
    x = 641,966,940.38/27,513.20
  6. Step 6: Final answer
    x = 23,333.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.