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Finding the Fourth Proportional to 27,402.93, 37,815.89 and 14,827.41

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Solution

The fourth proportional to 27,402.93, 37,815.89 and 14,827.41 is: 20,461.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,402.93 : 37,815.89 = 14,827.41 : x
  2. Step 2: Convert to fraction form
    27,402.93/37,815.89 = 14,827.41/x
  3. Step 3: Cross multiply
    27,402.93x = 37,815.89 × 14,827.41
  4. Step 4: Simplify right side
    27,402.93x = 560,711,631.41
  5. Step 5: Solve for x
    x = 560,711,631.41/27,402.93
  6. Step 6: Final answer
    x = 20,461.74

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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.