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Finding the Fourth Proportional to 26,494.65, 39,748.13 and 7,773.93

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Solution

The fourth proportional to 26,494.65, 39,748.13 and 7,773.93 is: 11,662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,494.65 : 39,748.13 = 7,773.93 : x
  2. Step 2: Convert to fraction form
    26,494.65/39,748.13 = 7,773.93/x
  3. Step 3: Cross multiply
    26,494.65x = 39,748.13 × 7,773.93
  4. Step 4: Simplify right side
    26,494.65x = 308,999,141.38
  5. Step 5: Solve for x
    x = 308,999,141.38/26,494.65
  6. Step 6: Final answer
    x = 11,662.70

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Why These Related Problems?

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