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Finding the Fourth Proportional to 17,627.76, 26,442.72 and 5,782.32

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Solution

The fourth proportional to 17,627.76, 26,442.72 and 5,782.32 is: 8,673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627.76 : 26,442.72 = 5,782.32 : x
  2. Step 2: Convert to fraction form
    17,627.76/26,442.72 = 5,782.32/x
  3. Step 3: Cross multiply
    17,627.76x = 26,442.72 × 5,782.32
  4. Step 4: Simplify right side
    17,627.76x = 152,900,268.71
  5. Step 5: Solve for x
    x = 152,900,268.71/17,627.76
  6. Step 6: Final answer
    x = 8,673.83

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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.