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Finding the Fourth Proportional to 27,402.35, 37,815.23 and 14,827.10

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Solution

The fourth proportional to 27,402.35, 37,815.23 and 14,827.10 is: 20,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,402.35 : 37,815.23 = 14,827.10 : x
  2. Step 2: Convert to fraction form
    27,402.35/37,815.23 = 14,827.10/x
  3. Step 3: Cross multiply
    27,402.35x = 37,815.23 × 14,827.10
  4. Step 4: Simplify right side
    27,402.35x = 560,690,196.73
  5. Step 5: Solve for x
    x = 560,690,196.73/27,402.35
  6. Step 6: Final answer
    x = 20,461.39

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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.