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Finding the Fourth Proportional to 27,402.56, 37,815.64 and 14,827.32

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Solution

The fourth proportional to 27,402.56, 37,815.64 and 14,827.32 is: 20,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,402.56 : 37,815.64 = 14,827.32 : x
  2. Step 2: Convert to fraction form
    27,402.56/37,815.64 = 14,827.32/x
  3. Step 3: Cross multiply
    27,402.56x = 37,815.64 × 14,827.32
  4. Step 4: Simplify right side
    27,402.56x = 560,704,595.28
  5. Step 5: Solve for x
    x = 560,704,595.28/27,402.56
  6. Step 6: Final answer
    x = 20,461.76

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