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Finding the Fourth Proportional to 26,164.33, 39,246.64 and 6,442.74

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Solution

The fourth proportional to 26,164.33, 39,246.64 and 6,442.74 is: 9,664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,164.33 : 39,246.64 = 6,442.74 : x
  2. Step 2: Convert to fraction form
    26,164.33/39,246.64 = 6,442.74/x
  3. Step 3: Cross multiply
    26,164.33x = 39,246.64 × 6,442.74
  4. Step 4: Simplify right side
    26,164.33x = 252,855,881.29
  5. Step 5: Solve for x
    x = 252,855,881.29/26,164.33
  6. Step 6: Final answer
    x = 9,664.15

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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.