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Finding the Fourth Proportional to 26,372.32, 39,554.16 and 7,900

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Solution

The fourth proportional to 26,372.32, 39,554.16 and 7,900 is: 11,848.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,372.32 : 39,554.16 = 7,900 : x
  2. Step 2: Convert to fraction form
    26,372.32/39,554.16 = 7,900/x
  3. Step 3: Cross multiply
    26,372.32x = 39,554.16 × 7,900
  4. Step 4: Simplify right side
    26,372.32x = 312,477,864
  5. Step 5: Solve for x
    x = 312,477,864/26,372.32
  6. Step 6: Final answer
    x = 11,848.71

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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.