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Finding the Fourth Proportional to 27,902.63, 41,818.34 and 13,078.89

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Solution

The fourth proportional to 27,902.63, 41,818.34 and 13,078.89 is: 19,601.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902.63 : 41,818.34 = 13,078.89 : x
  2. Step 2: Convert to fraction form
    27,902.63/41,818.34 = 13,078.89/x
  3. Step 3: Cross multiply
    27,902.63x = 41,818.34 × 13,078.89
  4. Step 4: Simplify right side
    27,902.63x = 546,937,468.84
  5. Step 5: Solve for x
    x = 546,937,468.84/27,902.63
  6. Step 6: Final answer
    x = 19,601.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.