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Finding the Fourth Proportional to 26,530.29, 39,781.74 and 7,807.89

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Solution

The fourth proportional to 26,530.29, 39,781.74 and 7,807.89 is: 11,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,530.29 : 39,781.74 = 7,807.89 : x
  2. Step 2: Convert to fraction form
    26,530.29/39,781.74 = 7,807.89/x
  3. Step 3: Cross multiply
    26,530.29x = 39,781.74 × 7,807.89
  4. Step 4: Simplify right side
    26,530.29x = 310,611,449.93
  5. Step 5: Solve for x
    x = 310,611,449.93/26,530.29
  6. Step 6: Final answer
    x = 11,707.80

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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.