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Finding the Fourth Proportional to 26,499.29, 39,748.53 and 6,777.68

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Solution

The fourth proportional to 26,499.29, 39,748.53 and 6,777.68 is: 10,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,499.29 : 39,748.53 = 6,777.68 : x
  2. Step 2: Convert to fraction form
    26,499.29/39,748.53 = 6,777.68/x
  3. Step 3: Cross multiply
    26,499.29x = 39,748.53 × 6,777.68
  4. Step 4: Simplify right side
    26,499.29x = 269,402,816.81
  5. Step 5: Solve for x
    x = 269,402,816.81/26,499.29
  6. Step 6: Final answer
    x = 10,166.42

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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.