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Finding the Fourth Proportional to 23,441.34, 35,154.72 and 7,855.32

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Solution

The fourth proportional to 23,441.34, 35,154.72 and 7,855.32 is: 11,780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,441.34 : 35,154.72 = 7,855.32 : x
  2. Step 2: Convert to fraction form
    23,441.34/35,154.72 = 7,855.32/x
  3. Step 3: Cross multiply
    23,441.34x = 35,154.72 × 7,855.32
  4. Step 4: Simplify right side
    23,441.34x = 276,151,575.11
  5. Step 5: Solve for x
    x = 276,151,575.11/23,441.34
  6. Step 6: Final answer
    x = 11,780.54

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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.