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Finding the Fourth Proportional to 20,926.26, 31,386.51 and 7,776.81

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Solution

The fourth proportional to 20,926.26, 31,386.51 and 7,776.81 is: 11,664.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,926.26 : 31,386.51 = 7,776.81 : x
  2. Step 2: Convert to fraction form
    20,926.26/31,386.51 = 7,776.81/x
  3. Step 3: Cross multiply
    20,926.26x = 31,386.51 × 7,776.81
  4. Step 4: Simplify right side
    20,926.26x = 244,086,924.83
  5. Step 5: Solve for x
    x = 244,086,924.83/20,926.26
  6. Step 6: Final answer
    x = 11,664.14

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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.