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Finding the Fourth Proportional to 26,342.16, 39,507.32 and 7,618.02

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Solution

The fourth proportional to 26,342.16, 39,507.32 and 7,618.02 is: 11,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,342.16 : 39,507.32 = 7,618.02 : x
  2. Step 2: Convert to fraction form
    26,342.16/39,507.32 = 7,618.02/x
  3. Step 3: Cross multiply
    26,342.16x = 39,507.32 × 7,618.02
  4. Step 4: Simplify right side
    26,342.16x = 300,967,553.91
  5. Step 5: Solve for x
    x = 300,967,553.91/26,342.16
  6. Step 6: Final answer
    x = 11,425.32

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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.